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Learn more about a divorce lawyer

As time modernizes, people surround themselves with rules, laws, and mostly need a lawyer. A person who practices law is called a lawyer, and lawyers come in many kinds. Today, divorce has become a very important issue since it affects not only the couple but probably their children as well. A divorce attorney has a great role in handling these cases that would be best for their clients.

What does a divorce lawyer do?

There are a variety of attorneys available, from criminal law to divorce law to patent law. They are knowledgeable about the legal procedures through which they suggest and help their clients to solve their problem through legal channels.

Education and licenses

Divorce attorneys must graduate from law school where they learn about divorce law, family law, and ethics. After graduating from the university, the law student must take a law exam through which they can obtain a license to acquire their work in the future. This license is only responsible for any lawyer its genuine.

DIVORCE

It is the separation of the couple who does not want to stay together. It is the solution to the failure of any marriage and has many causes in terms of fights, domestic violence, extramarital sex, mid-life crisis, addictions such as alcoholism, gambling, etc.

Divorce often affects children’s academic, school and mental depression. These are not only causing problems for couples but also for their family, work and profession. Society can also face some imbalance problems in the environment.

DUTIES OF A DIVORCE LAWYER

A divorce lawyer works in child custody, disputes, leases and trusts and helps his client with their respective problems. Most of their time is spent gathering evidence, drafting documents, and filing documents in court. They collect all the information and represent before the judge.

They should have responsibility towards the expedited process and should not harass their clients by demanding more fees.

SKILLS

A divorce lawyer must be skilled or focused on interacting with people in order to earn the trust and respect of their clients. A trained profession, a divorce attorney must be calm and sensitive, as their job can be strict on emotions and feelings.

LEGAL ADVICE

Married couples are advised to give up the decision to divorce and commit to leaving in peace so that no further conflicts occur later. They are also informed about the custody of the children, the distribution of property to which more problems may arise and therefore they must abandon the idea.

married women having affairs

What man does not fantasize about married women for adventures? We fantasize about the wives of our friends, the wives of other men we see outside, wives in the store, in traffic; almost anywhere we see them. Aahh wonderful, sexy, naughty and sexually hungry for adventure married women; They come in all shapes and sizes and come from every area of ​​life.

I am a man who enjoys and appreciates the passion and sexual arousal of a cheating wife. Sex with cheating wives is not like sex with anyone else. Women married for affairs are women who want to be naughty; they are strong-willed lovers who know what they want and are willing to accept it. They are willing to take risks; in fact, they are enthusiastic about taking risks. They exude an animal passion and offer forbidden fruits. It could be a bored soccer mom, a dissatisfied wife, or a woman who feels ignored. Wherever they come from and for whatever reason they cheat, they all have something in common; they look for excitement, passion and something naughty. I as a married man really enjoy meeting women who cheat.

The trick, of course, is not to get caught. That’s where married women’s personals sites for affairs come into play. Married women’s personals sites for flings have specifically focused on conning married people looking for other married people. The Sites are designed to protect your identity with anonymous profiles. They also have sites designed to make it easy for you to meet and get to know the other person in complete privacy. Everything from sending a greeting or email to chatting is at your fingertips, and it’s all done in one place. You can search for other people based on everything from physical characteristics and sexual preferences to location. With over four million members and an Affair Guarantee, you’re sure to meet people in your area.

I had created an anonymous profile and was chatting with a cheating wife within an hour. Due to the search features, I was also able to meet married women for flings in other cities when my job required me to travel. It seems that my job makes me travel a lot more since I found a married woman for the personal affairs site!

Compact dishwashers are perfect for small kitchen spaces!

There’s no need to keep washing dirty dishes by hand when you can buy a machine that will do the work for you. Most people equate dishwashers with the 24″ size built-in undercounter models. But the dishwasher selection is much bigger than that! What do you think cleans dishes in RVs and boats?

If you’re looking at the selection of compact dishwashers, you’ll find slimline 18″ models available, as well as countertop models. In addition, portable dishwashers are also available in 24″ and 18″ sizes.

18″ dishwasher

These machines can be very useful when kitchen space is at a premium. However, these machines don’t necessarily offer consumers a bargain, as they tend to cost as much as a low-priced 24″ dishwasher, which equates to $300 to $450. For selection, Miele makes an 18″ model at same as Kenmore.

You can also find portable models made by Danby, Equator, Frigidaire, and Haier. These dishwashers are mobile and usually include wheels or a set of wheels. To operate you need to plug in and connect to the faucet.

Due to their functionality, portable dishwashers can be extremely useful when there is no space for a built-in machine. When not in use, you can store the unit in a separate location; a closet or under the stairs. In addition, the portable models are equipped with a worktop that provides a pleasant surface for many tasks in the kitchen.

countertop dishwasher

These compact dishwashers are just about the smallest dishwashers available. Most are designed in the microwave style and can be built-in or portable.

Danby is a nice countertop model, it includes a window and microwave design. It also features a stainless steel interior and is energy efficient. You can usually wash about 4 place settings on the countertops.

Is this dishwasher your best option? These models can be very good in the right situation. However, if you have a family and children, this appliance is too small. On the other hand, if you have a limited number of dishes to wash, countertop models can come in handy!

How to Condense Your Law School Schemes

Schema condensation is crucial to success in law school. To attack your endings in a timely and orderly fashion, you simply can’t be furiously back and forth in a fight against time. You need to be calm, collected and methodical during your exam – here are some tips to make your outline contribute. This article assumes that, like most law students, you have collected several outlines from various sources for each course.

1. Attack each section one at a time, across multiple contours

Law students tend to be very hectic preparing for final exams. After all, you are attacking a paper tiger, something totally intimidating and illusory. To that end, when you’re condensing your outlines into an awesome and downright bad ultra-sketch, you need to do it methodically. Take up a section (say, Auxiliary Jurisdiction in Civil Proceedings), read the treatment of each scheme in that section, and create your own.

2. Write your own outline

Putting pen to paper also helps the law student meld the information in their mind. Simply copying and pasting from another schematic will be much faster, no doubt; but what have you really learned by doing it? When you take the information contained in your outlines (and, indeed, your supplements) and put it into your own words, you are forcing yourself to think critically about what you have read and to make executive decisions about what your outline includes. and what is cut Remember: you transcribe as you think. The last thing you want on exam day is trying to figure out what Joe Law Student ’05 meant when he was explaining the Eric Doctrine flowchart to himself.

3. Fill in any knowledge gaps with your supplementary material

This may sound obvious, but law students in November have been known to have spastic memories. Don’t just compile the information from three schematics and assume you have everything you need. Please review the supplements you have purchased and make sure everything that needs to be addressed has been addressed.

4. Outline in the following format

Every student is different, but this serves as the basic framework for your outline. Here is an example of my tort scheme: condense all relevant information into concept > subconcept > Black Letter Law > Example [if necessary] > Exceptions [if necessary] Format.

IT and Intellectual Property

Computer technology plays an increasingly important role in modern society. Computers, electronic machines with the ability to store and/or process data, are called hardware. The expansion of hardware is staggering: computers are more powerful and computer technology is entering more areas of life, not just in technological environments, but also in more commonplace environments such as appliances, cars, watches, and similar products.

A computer cannot function without instructions. These instructions may be embedded in hardware, such as ROMs, but more often they are created, reproduced, and distributed on media that is separate from the computer hardware. Software for personal computers is distributed on diskettes or CD-ROMs. Computer programs are created in a programming language that can be understood by people trained in that language. That form of appearance of the program, which can be on the computer screen or printed on paper, is generally known as the source code. Another form of appearance is called object code, where the program is transferred to the digital values ​​0 and 1. In this form, the program is incomprehensible to humans, but it is machine-readable, for example from a floppy disk, and thus can actually be used to organize the operations of the computer.

The computer hardware, as well as the program, should generally be supplemented by manuals and other supporting material, prepared by the program’s producer, which provide essential instructions and reference material for more advanced uses of the program. The program plus such reference material and manuals are called computer software.

The investment required for the formation of computer programs is usually very high, and its protection against unauthorized copying and use is of crucial importance. Without such protection, software producers would not be able to recoup their investment, thus the creation and development of this crucial side of information technology would be in jeopardy. In countries that have not yet provided adequate protection, it is often only possible to obtain foreign programs that are not tailored to the specific needs of those countries. It is difficult to secure funding for essential translations and local adaptations. Computer viruses are often much more widespread in countries with inadequate protection, because they are distributed with pirated software that is not subject to the same quality control as licensed products.

It is essential that national legislation ensures sufficient protection of software. Even in cases where local translations or adaptations are not essential, such protection improves access to the most advanced and most suitable software, since producers and distributors are only reluctantly releasing their precious products in countries where a rampant piracy.

Should You Trust the Living Trust?

A potential client called me one day and said she needed me to draw up a revocable living trust for her. “Why do you need that particular document?” I asked. “Oh, [insert name of TV pundit] says you must have a living trust to avoid probate.” “And why do you have to avoid probate?” I asked in response. “Because [pundit] says probate is a nightmare and you should avoid it at all costs.” I asked the woman if she had ever dealt with probate (“no”) and how many probate [TV pundit] had ever driven (none, since she is not a lawyer). I assured the person she called that she had a lot of experience with probate, that it is not the “nightmare” some would make it seem, and that living trusts are not for everyone. However, the lady was adamant about the trust, refusing to listen to me explain why the trust might not be good for her, or address her legal needs, and hung up on me.

I don’t like losing potential clients, but if they don’t at least listen with an open mind and discuss these heady legal issues with a professional who has experience in this area, then they may not be a good client. The truth is, I would have gladly drafted a revocable living trust for her, since I would have made more money doing that than traditional estate planning, but before doing so, I wanted her to understand all the ramifications of using this legal tool. . She wasn’t interested in hearing what she had to say, and she thought of moving on. This was fine with me.

Revocable Living Trusts (RLTs) have gained superstar status in some circles in recent years as a way to avoid probate. It is true, they help to avoid succession. Yeah are configured and managed correctly. They also help avoid guardianship proceedings (more on that in a moment). But what many people don’t understand is that a living trust often creates more problems than it solves: for example, the costs of setting up the trust, transferring all assets to the trust, and continuing to maintain the trust properly throughout life. of the grantor. often costs at least as much as probate, if not more. I often say to clients, “Why should I you Pay your estate administration expenses? Why don’t you enjoy your money while you’re alive and let those costs count toward what your heirs get later?” Because the truth is, there’s no free lunch. Someone is going to pay to transfer your assets to your heirs. .

Also, in my experience as an estate planning attorney who also manages estates, most of the revocable living trusts I have dealt with have No led to a complete avoidance of succession. This often occurs because, as time passes, the grantors forget to title the new assets in the name of the trust. After death, when the grantor’s family seeks my advice to liquidate the trust, there are assets that did not make it into the trust and we still have to file probate proceedings. So what problem did the trust solve?

RLTs help avoid guardianship proceedings, but there are problems in this area as well. While the trust appoints a designated person to take over the finances in the event the grantor can no longer make decisions, there is no day-to-day oversight of the work they are doing. The only way to enforce or require proper performance is to initiate expensive legal proceedings. The guardianship procedure, on the other hand, is regularly examined by the court system at a lower cost.

In short, whether a revocable living trust is right for you is something you should discuss with your attorney. Keep an open mind and explore all your options with a member of your state’s Bar Association, preferably someone who regularly practices law in this area.

The 9-step system to sell your house fast and for a lot of money

Not too long ago, it was common for investors to make their fortune in real estate. It was nothing to buy a house, wait a while, and then sell it at a handsome profit, and then do it over and over again.

As you are no doubt aware, times have changed. Despite how good the market may be at any given time, home prices remain below what they were at their peak.

And buyers are far more discerning: A large percentage of homes listed for sale never sell. Therefore, it’s more important than ever to learn what you need to do to avoid costly seller errors and sell your home quickly and for the best possible price.

The 9-step system to sell your house fast and for a lot of money

Selling your home is one of the most important tasks of your life. This nine-step system gives you the tools you need to maximize your profits, stay in control of the process, and reduce the stress that is always part of the home-selling process.

  1. Know why you are selling and keep it to yourself.

    The reasons behind your decision to sell can affect everything from setting the price to how much time and money you spend preparing your home for sale. What is more important to you: the amount of money you walk away with or how long your property will be on the market before it sells? These different objectives require different strategies.

    However, once you have determined your motivation, do not reveal it to anyone except your real estate agent because they can use it against you at the negotiating table. When asked, simply answer that your housing needs have changed.

  2. Do your homework before setting a price.

    Don’t take the job of setting your listing price lightly. Once you set a price, you’re telling buyers the absolute maximum they’ll have to pay for your home, but too high a price is just as dangerous as too low a price. Remember that the average buyer is looking at 15-20 homes at the same time they consider their own.

    This means they have a basis for comparison, and if your home doesn’t compare favorably to others in the price range you’ve set, prospects or agents won’t take you seriously. As a result, your home could stay on the market for a long time, and new buyers on the market may think that there is something wrong with your home that has prevented it from selling.

  3. Do your homework.

    In fact, your agent should do this for you. Find out what homes in your own neighborhood and similar neighborhoods have sold for in the last 6-12 months, and research what homes are currently listed for. This is exactly how prospective buyers will assess the value of your home.

  4. Find a good real estate agent that represents your needs.

    Nearly three-quarters of homeowners say they wouldn’t use the same real estate agent who sold their last home. Dissatisfaction is frequently due to poor communication, leading to insufficient feedback, lower prices, and strained relationships. Request your free copy of our report, “10 Questions to Ask Before Hiring an Agent” for information on questions to always ask when interviewing agents who want to list your home.

  5. Maximize the sales potential of your home.

    Corporate North America spends billions on product and packaging design each year. Appearance is critical and it’s foolish to ignore it when selling your home.

    While you can’t change the location or floor plan of your home, you can do a lot to improve its appearance. The appearance of your home triggers an automatic emotional response in potential buyers.

    Clean like you’ve never cleaned before. Pick up, straighten, declutter, scrub, scrub and dust. Fix everything, no matter how insignificant it may seem. Feature your house to get a “Wow!” response from potential buyers.

    Create an atmosphere that encourages buyers to imagine them living in your home. The decision to buy a home is based on emotion, not logic. Potential buyers want to “try on your home” just like they would a new item of clothing. If you follow them around and point out every improvement, or if your decor is so unusual that buyers can’t forget it, you’re making it hard for them to feel comfortable enough to envision the house.

  6. Make it easy for prospects to get information about your home.

    It may surprise you to learn that some of the most commonly used home marketing strategies (for example, traditional open houses) are actually not very effective. In fact, only 1% of homes are sold at open houses.

    And prospective buyers inquiring about your home value their time as much as you value yours. They don’t want to be subjected to a game of phone tag with an agent or an unwanted sales pitch. Make sure the announcements your agent places refer to inquiries from a 24-hour pre-recorded hotline with an ID number specific to your home. You must provide detailed information about your property day or night, seven days a week, without having to speak to anyone. Three times as many buyers call for information on homes under this system. And the more buyers competing for your home, the better, because you can create an auction-like atmosphere that puts you in the driver’s seat.

  7. Know your buyer.

    During negotiations, your goal is to control the pace and set the duration. Determine your buyer’s motivation. Find out if buyers need to move quickly. Will they be able to pay the sale price? Having this information gives you an advantage in negotiations, because you know how far you can push to get what you want.

  8. Make sure the contract is complete.

    As a seller, be sure to disclose everything. Smart sellers proactively go beyond the legal requirement to disclose all known defects, in writing, to buyers. If you tell buyers about known issues ahead of time, they can’t come back with a lawsuit later.

    Make sure all terms, costs, and responsibilities are spelled out in the sales contract, and resist the temptation to void the contract. For example, if the buyer asks to move before closing, simply say no. Now is not the time to risk the sale failing!

  9. Do not move out of your house until it is sold.

    Studies show that it’s harder to sell a vacant home because it looks abandoned, neglected, and just plain unappealing. It could even cost you thousands. And if you move, you’re telling buyers that you have a new home and that you’re probably motivated to sell it fast. This gives the buyer the upper hand at the negotiating table.

By following the nine tips in this article, you’re much more likely to be able to sell your home quickly and for the best price.

Rhode Island Child Support Law FAQs: Daycare, Overtime, Modification, College, Termination

1) What if my child’s father works overtime? Will overtime be included in child support?

There is no standard law or rule in Rhode Island regarding whether or not the non-displacement parent’s overtime will be used to calculate child support. A Rhode Island judge consistently rules that overtime compensation cannot be used to calculate child support.

Other judges in Rhode Island have different opinions regarding overtime. Family Court is a court of equity and justice. Judges in Rhode Island will generally look at whether or not a person consistently works overtime over a substantial period of time. Judges may also consider whether or not overtime is consistently offered to a spouse. If overtime is infrequent or not typically provided, judges may hesitate to calculate overtime as a child support factor. In that case, many lawyers argue that a person’s income should be calculated using their W2, or gross income for the entire calendar year. When calculating gross earnings for a full calendar year, even infrequent overtime becomes an item of child support.

Judges may also consider other factors, such as the needs and expenses of both parties and any extraordinary expenses for the child. At least one judge has suggested that the possessing parent get a percentage of the overtime that the non-possessing parent works. Other judges in Rhode Island believe that overtime should always be a factor in child support. Often, the overtime issue is negotiated by lawyers before the judge issues a formal decision.

2) My child is about to turn 18 but is still in high school and lives at home, can I get child support?

Under Rhode Island Law, child support must end when the child turns 18 and graduates from high school. If the child is still in high school, support will continue until the child turns 19.

Child support in Rhode Island automatically continues even after the child turns 18, unless a Motion to Cancel Child Support is filed. If you are a parent without possession, your best option is to contact an attorney to file a Motion to Cancel Child Support approximately 40 days before your child turns 18 and graduates from high school. This will mean that the motion will be heard at a court hearing shortly after the child turns 18. Note that the parent without possession can still be held in contempt for failure to pay child support even after the child turns 18 if no motion to end child support is granted. If a child is severely disabled, child support will continue until the child turns 21.

3) Can I order my child’s father to pay for my child’s college education?

In Rhode Island, the court does not have jurisdiction to order a parent to pay for their child’s college education. However, if pursuant to a Property Settlement Agreement or other contract, one party agrees to pay for a child’s education, then a court of law may enforce that agreement. Therefore, if you want your child’s parents to pay for your child’s college education, you must negotiate the payment of college expenses as part of a global divorce settlement or custody agreement or other similar arrangement.

4) Who is going to pay for my child’s day care?

Rhode Island’s minimum child support guidelines take into account both the importance and the cost of child care. The child support guidelines and worksheet are used to determine the appropriate amount of child support to be paid by the parent without possession. The bottom line is that a party will be ordered to pay approximately the same percentage of child care that the party earns relative to that party’s percentage of both parties’ combined gross income.

For example: if the husband earns $100,000.00 and the wife earns $50,000.00 the combined gross income of the parties is $150,000.00. Thus, the husband earns 66 percent of the income and will be ordered to pay 66 percent of child care in addition to child support. (There may be an adjustment to account for the federal tax credit.) This amount is added to the minimum amount in the Child Support Guidelines.

5) How do I change, increase or stop child support in Rhode Island?

In Rhode Island, child support can only be modified if there is a substantial change in circumstances. To get a substantial change of circumstances, the child support amount must be 10 percent more or less than the previous child support order. The change in circumstances could result from the loss of a job, increased income for either party, new dependents, loss of overtime, unemployment, disability, etc.

Creation of a limited liability company in Singapore

A Singapore Private Limited Company is the most popular business entity in Singapore. It is a separate legal entity from its directors and shareholders that grants partners limited personal liability. You can be sued under your own name, you can own property, and you are eligible for local tax breaks and incentives. The benefits of these types of companies are high and the local government encourages growth from foreign investors.

In Singapore, this type of business entity has a minimum of one shareholder and a maximum of 50. There are several advantages to running this type of business entity. One of the main advantages is that the shareholders are not personally responsible for the debts and losses of the company. Another is that ownership of the company can be transferred and additional shareholders can be named. Furthermore, if one of its shareholders dies, the company does not cease to exist because it is its own legal entity. Financially, a Singapore limited liability company is advantageous because it is entitled to tax benefits.

Running a business in Singapore is also advantageous because there is already an established driving business district there. The infrastructure is conducive to traveling efficiently through the area. There are intricate roads and a good public transportation system. Singapore also has a strong communications infrastructure, which makes it easy for you to quickly develop your business. Also, the government is inviting new companies there as they see it as beneficial for the socio-economic development of the country.

Business entities are governed by the Singapore Companies Act, which imposes penalties on companies that violate its terms. Additionally, each company must submit annual returns and Directors’ reports. Every company must also have at least one resident director and one company secretary. Also, operating costs are often higher because the Singapore Companies Act has higher disclosure and administration requirements. Directors must also disclose their interest in the company’s shares, contracts and obligations.

To create a Singapore private limited company, registration documents require a company name, a minimum of one director who must be a Singapore resident, EntrePass holder, Employment Pass holder or Dependent Pass holder, shareholders, a secretary of the company within six months of incorporation, paid-up capital of at least S$1 (one Singapore dollar) and a registered address. This type of company is subject to taxation, but the benefits are high. Your company will pay less than 9% on the first $300,000 of annual profit, followed by a flat rate of 17%. There are also no taxes on capital gains or dividends in Singapore.

This type of company is composed of a minimum of one shareholder, a company director and a company secretary. They must also have a registered office in the country. The good thing is that you can find many companies that will help interested individuals and companies to set up a business in Singapore. These companies specialize in the requirements of the Singapore Companies Act and local specifications and requirements.

Prime factorization of natural numbers: lucid explanation of the method to find prime factors

Prime factors (PF):

The factors of a natural number that are prime numbers are called FP of that natural number.

Examples:

The factors of 8 are 1, 2, 4, 8.

Of these, only 2 is the PF.

Also 8 = 2x2x2;

The factors of 12 are 1, 2, 3, 4, 6, 12.

Of these, only 2, 3 are the PF

Also 12 = 2x2x3;

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.

Of these, only 2, 3.5 are the PF

Also 30 = 2x3x5;

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42.

Of these, only 2, 3, 7 are the PF

Also 42 = 2x3x7;

In all these examples here, each number is expressed as a product of FP

In fact, we can do that for any natural number ( ≠ 1).

Multiplicity of FP:

For a PF ‘p’ of a natural number ‘n’, the multiplicity of ‘p’ is the largest exponent ‘a’ for which ‘p^a’ divides ‘n’ exactly.

Examples:

We have 8 = 2x2x2 = 2^3.

2 is the PF of 8.

The multiplicity of 2 is 3.

Also, 12 = 2 x 2 x 3 = 2^2 x 3

2 and 3 are the FP of 12.

The multiplicity of 2 is 2 and the multiplicity of 3 is 1.

Prime factorization:

Expressing a given natural number as the product of FP is called prime factorization.

o Prime factorization is the process of finding all the FPs, along with their multiplicity for a given natural number.

The prime factorization of a natural number is unique except for the order.

This statement is called the Fundamental Theorem of Arithmetic.

Prime factorization method of a given natural number:

STEP 1:

Divide the given natural number by its smallest PF

STEP 2:

Divide the quotient obtained in step 1, by its smallest FP.

Continue dividing each of the subsequent quotients by its smallest FP, until the last quotient is 1.

STEP 3:

Express the given natural number as the product of all these factors.

This becomes the prime factorization of the natural number.

The steps and the method of presentation will become clear with the following examples.

Worked example 1:

Find the prime factorization of 144.

Solution:

2 | 144

———-

2 | 72

———-

2 | 36

———-

2 | 18

———-

3 | 9

———-

3 | 3

———-

end| 1

See method of presentation given above.

144 is divided by 2 to get the quotient of 72 which again is

divided by 2 to get the quotient of 36 which again is

divided by 2 to get the quotient of 18 which again is

divided by 2 to get the quotient of 9 which again is

divided by 3 to get the quotient of 3 which again is

Divide by 3 to get the quotient of 1.

See how the FPs are presented to the left of the vertical line

and the ratios to the right, below the horizontal line.

Now 144 must be expressed as the product of all the FPs

which are 2, 2, 2, 2, 3, 3.

So, prime factorization of 144

= 2 x 2 x 2 x 2 x 3 x 3. = 2^4 x 3^2 Years.

Worked example 2:

Find the prime factorization of 420.

Solution:

2 | 420

———-

2 | 210

———-

3 | 105

———-

5 | 35

———-

7 | 7

———-

end| 1

 

See method of presentation given above.

420 is divided by 2 to get the quotient of 210 which again is

divided by 2 to get the quotient of 105 which again is

divided by 3 to get the quotient of 35 which again is

divided by 5 to get the quotient of 7 which again is

Divide by 7 to get the quotient of 1.

See how the FPs are presented to the left of the vertical line

and the ratios to the right, below the horizontal line.

Now 420 must be expressed as the product of all the PFs

which are 2, 2, 3, 5, 7.

So, prime factorization of 420

= 2 x 2 x 3 x 5 x 7 = 2^2 x 3 x 5 x 7. Years.

Sometimes it may be necessary to apply Divisibility Rules to know the minimum FP with which we have to carry out the division.

Let’s see an example.

Worked example 3:

Find the prime factorization of 17017.

Solution :

The given number = 17017.

Obviously this is not divisible by 2 (the last digit is not even).

Sum of digits = 1 + 7 + 0 + 1 + 7 = 16 is not divisible by 3

and therefore the given number is not divisible by 3.

Since the last digit is not 0 or 5, it is not divisible by 5.

Let’s apply the divisibility rule of 7.

Twice the last digit = 2 x 7 = 14; remaining number = 1701;

difference = 1701 – 14 = 1687.

Twice the last digit of 1687 = 2 x 7 = 14; remaining number = 168;

difference = 168 – 14 = 154.

Twice the last digit of 154 = 2 x 4 = 8; remaining number = 15;

difference = 15 – 8 = 7 is divisible by 7.

So, the given number is divisible by 7.

Let’s divide by 7.

17017 ÷ 7 = 2431.

Since divisibility by 2, 3, 5 is ruled out,

divisibility by 4, 6, 8, 9, 10 is also ruled out.

Let’s apply the rule of divisibility by 11.

Alternate digit sum of 2431 = 2 + 3 = 5.

Sum of the remaining digits of 2431 = 4 + 1 = 5.

Difference = 5 – 5 = 0.

So 2431 is divisible by 11.

2431 ÷ 11 = 221.

Since divisibility by 2 is ruled out, divisibility by 12 is also ruled out.

Let’s apply the divisibility rule of 13.

Four times the last digit of 221 = 4 x 1 = 4; remaining number = 22;

sum = 22 + 4 = 26 is divisible by 13.

So 221 is divisible by 13.

221 ÷ 13 = 17.

Let’s introduce all these divisions below.

7 | 17017

———-

11 | 2431

———-

13 | 221

———-

17 | 17

———-

end| 1

 

Thus, prime factorization of 17017

= 7 x 11 x 13 x 17. Years.