Factoring and Multiples

Prime Numbers

Top Answer

Because 100 only has one prime factorization.

Because each composite whole number has a unique prime factorization.

🙏

0🤨

0😮

0😂

0Saying "The" Instead of "A"The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.

Because 4 is not a prime number.

I am sorry to say I don't THINK anyone know who invented/created/made prime factorization sorry :(

If that's 34/5478, I can say the prime factorization of the denominator is 2 x 3 x 11 x 83

Each prime factor will appear an even number of times.

if its a math one i say prime factorization.

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 is either prime itself or is the product of prime numbers, and that, although the order of the primes in the second case is arbitrary, the primes themselves are not.

If you are thinking of prime factorization of integers, yes, a prime number more specifically

To find the prime factorization of a number, divide the number by each prime number up to the greatest prime that will go into the number leaving no remainder.As an example, this is the process for factorization of 648:648/2=324324/2=162162/2=8181/3=2727/3=99/3=33/3=1Listing each divisor as a prime factor, the prime factorization of 648 is 2x2x3x3x3x3 (or 23x34 in exponential form).Keep dividing the original number by prime numbers until all the factors are prime. A large majority of the numbers you will encounter are multiples of 2, 3, 5 and/or 7. Start there.well first of all you need to know what prime factorization means: prime factorization is the process of decomposing a number into its constituent prime numbers; the calculation of all prime factors in a number. Step 1: write your number down and draw 2 diaganal lines down on each side no w you will need to find to factors that will multiply equally to get the number. say you had 10 the two numbers would be 2 * 5= 10, 2 is prime and 5 is prime so you cirle both of them and your prime factorization would be 10=2x5 and that is how you do prime factorization. EX. BELOW

Prime numbers only have one prime factor. Prime factorizations have at least two. Sometimes they're the same number (2 x 2 = 4) so we could say it has one distinct prime factor.

A famous theorem says that each number has a unique prime factorization.You can begin by expanding the number to known products, say 10 * 19 (or 5*38 or ...)You just keep going until only prime numbers remain. Here, 19 is prime but 10 is composite so we reduce it further to 2*5. Both of these are prime numbers, so we are done.The resulting pf is 190=2*5*19 (only powers of prime numbers on the right)It is: 2*5*19 = 190

Sketchy - 2012 100 Words You Could Say Instead of Swag 1-20 was released on: USA: 19 June 2012

It's a question of how "prime" is defined. Mathematicians have chosen not to include 1 in their set of prime numbers, possibly because they feel it makes things easier.Every positive integer can be written as a product of prime numbers (prime factorization). In fact, every positive integer has only one prime factorization. (Reordering the primes doesn't count, e.g. 2x3x3 is the same as 3x2x3.) This would no longer be true if 1 was a prime number. For instance: 14 = 2x7 = 1x2x7 = 1x1x2x7 = 1x1x1x2x7. Every positive integer would have infinitely many prime factorizations. You's have to rewrite the theorem to say "...only one prime factorization WITHOUT A 1", which would be more awkward.There are probably more examples out there, but I can't think of any good ones at the moment.

100 lakhs. So you can say, "I have 2 lakhs", or "I have 99 lakhs", but instead of saying, "I have 100 lakhs", you would say, "I have 1 crore".

There is no such number. No matter how high you go, there will always be another larger number with more factors. Let's say you take the number 101. This is a prime number, so its prime factorization is 101 = 1 * 101 Now let's look for a number with an additional prime factor. In order to do this, we multiple 101 by the smallest prime number: 2 101 * 2 = 202 This new number now has two prime factors: 2 and 101 If we keep multiplying our numbers by 2, we will keep getting one more prime factor each time. This will continue as our number approaches infinity.

Instead of saying, "Please write that number as a product of its prime factors," people might say, "Please factor that number."

A prime number is a whole number greater than 1 that is divisible by only itself and 1. So, for example, 5 is a prime number because it is only divisible by 1 and 5, but 6 is not a prime number, because it is divisible by 1, 2, 3 and 6.One number is a factor of another if it can evenly divide into it. So, for example, 6 is a factor of 18, since 18/6 is 3.The prime factors of a number are all of the factors of that number that are prime numbers. So, to find the prime factors of 28, first list all of the numbers that are factors of 28. The factors of 28 are 1, 2, 4, 7, 14, and 28. Then write those factors that are prime: 2 and 7.The prime factorization of a number is a little different. The prime factorization of a number is a unique set of prime numbers that multiply together to get the given number. So, the prime factorization of 28 is 2x2x7, because 2x2x7=28.To find the prime factorization of a number, start by writing the number as a product of any pair of non-trivial factors. (So, any factors other than 1 and the number.) Then look at each of these numbers. If the number is prime, then it will be in the prime factorization of the given number. If it is not prime, write it as the product of any of its non-trivial factors. Continue until all numbers are prime.For example, let's find the prime factorization of 28. We can write 28 as the product of the factors 4 and 7. Seven is a prime number, so it will be in the prime factorization of 28. Four, however is not a prime number, so we will write it as 2x2. Since 2 is a prime number, we don't have to "break down" these 2's any more. So the prime factorization of 28 is 2x2x7, or 7x2x2, or 2x7x2--the order of the prime numbers doesn't matter, but we usually write them from smallest to largest.Can you find the prime factorization of 24? The answer is 2x2x2x3.You only need to check the for factors less than (or equal to) the square root of the number. Also, you only need to check for prime factors - once you've got those, you can get the rest easily (if you want to).Example: 1524Try 2:1524 / 2 = 762Try 2 again:762 / 2 = 381Try 2 again:It's not a factor. Move on to the next prime.Try 3:381 / 3 = 127Try 3 again:Not a factor.Try 5:Not a factor.Try 7:Not a factor.Try 11:Not a factor.The next prime is 13. But we don't need to try 13, because 13 > sqrt(127). This means that if 13 had been a factor (say 13x=127), then x would have been a smaller factor of 127, and we would have removed it by now. Similarly, you don't need to try 17, or 19, or any more prime numbers. 127 is prime.Conclusion: The prime factorisation of 1524 is 1524 = 2 * 2 * 3 * 127.

"Prime factorization" is the process of finding which prime numbers (prime factors) you need to multiply together to get a certain number.Examples:21 = 3 x 710 = 2 x 520 = 2 x 2 x 560 = 2 x 2 x 3 x 5(these may also be written as 2*5, 2*2*5, and 2*2*3*5)By convention, prime factorizations are written with the smallest prime numbers first. For example, we wouldn't write 60 = 3 x 2 x 2 x 5. Some texts prefer to write the answer using exponential notation, so that the final answer would be written as 60 = 2^2 x 3 x 5.A prime number is a number that has no factors other than itself and 1, but 1 itself is not regarded as a prime number.The prime numbers below 30 are thus 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. They can be said to have no prime factorization.Prime FactorsA factor which is a prime number is called a prime factor.Every positive integer can be expressed as a product of prime numbers (its prime factorization). Moreover, each positive integer has only one prime factorization.The prime factors can be found by successive division by prime numbers of increasing value.EXAMPLE : The prime factorization of 54 is 2 x 3 x 3 x 3This can be written as 2 x 3^3The prime factors of 54 are thus 2 and 3.With large numbers, prime factorization is very time-consuming. If there was a quick way to factorize numbers, then it would be easy to break RSA encryption, which uses prime factors, and thereby intercept secret communications over the internet.Prime factorization is expressing a number as the product of its prime factors. Example: 210 The prime factors of 210 are 2, 3, 5 and 7. The prime factorization of 210 is 2 x 3 x 5 x 7.This concept applies to natural numbers.First you need to know the concept of prime number. A number (other than 1) is prime if it can be divided only by 1 and itself. Examples are 2,3,5,7,11,13,17,19,23 ( There are infinitely many primes.)if a number is not prime, there are primes than can be multiplied together to get it.( * means multiply)For example 4 = 2 * 2; 6 = 2*3 ; 9 = 3 * 3; 10 = 2* 5; 14= 2 * 7 ;15 = 3* 5Sometimes it takes more than two primes to make the number.8 = 2 * 2 * 2 ; 12 = 2 * 2 * 3 ; 24 = 2 * 2 *2 * 3 .There is an important theorem that says that every number is either prime or else is the product of primes. Further, except for the order, there is only one set of primes whose product is some given number. These primes are called the prime factorization of the number. ( Numbers that are multiplied together are called factors.)The prime factorization is useful in many ways, but one basic use is for finding the greatest common factor and the least common multiple.All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.Example: 210210 Divide by two.105,2 Divide by three.35,3,2 Divide by five.7,5,3,2 Stop. All the factors are prime.2 x 3 x 5 x 7 = 210That's the prime factorization of 210.Prime factorisation is the process of finding prime numbers that when multiplied equal the original number.Example:Words:Say you start with 20. You divide 20 by any number that will have a whole quotient. Let us use 5. 20 divided by 5 is 4. Then you try and divide those numbers. 5 is not divisible by any other numbers making it prime. Do not change the 5. 4 is divisible by 2. 4 divided by 2 is 2. So there for the prime numbers that create 20 when multiplied are 2,2, and 5. To see this process in numbers, see below.205x45x2x2This process is prime factorisation.All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.Example: 210210 Divide by two.105,2 Divide by three.35,3,2 Divide by five.7,5,3,2 Stop. All the factors are prime.2 x 3 x 5 x 7 = 210That's the prime factorization of 210.a prime number that can go into a certain number.for example: the prime factorazations of 399 are 3, 7, 19Prime factorization is the expression of a number as the product of its prime factors.2 x 3 x 5 x 7 = 210Prime factorization is the expression of a number as the product of its prime factors.2 x 3 x 5 x 7 = 210

prime del ministre'

1 was considered a prime number for many years. But there is a problem: any number can be written as the product of its prime factors. E.g. 30 = 2*3*5 (2,3 and 5 being primes). If 1 is a prime, then the prime factorization of 30 could be 2*3*5*1 or even 2*3*5*1*1*1*1. So mathematicians had to say "primes, but not 1!" all the time. Therefore 1 is no longer (mostly for practical reasons) considered prime.

mass is how much an object weighs. If you weigh 150 pounds, then you have a mass of 150 lbs (you can say pounds if you want instead of lbs, it is just the abbreviation for pounds). if you weigh 100 kilograms, then you have a mass of 100 kg( you can say kilograms or kilo's if you want, kg is just the abbreviation).

As long as you say 'a' prime reason, not 'the' prime reason, I would say that is true.

The number 1 is neither prime nor composite.

We can not say 100 degrees kelvin, we must say 100 kelvin and the answer is 100 kelvin

Trending Questions

What is ROBLOX's password on roblox?
Asked By
Wiki User

How many sides does a hexagon have?
Asked By
Wiki User

A farmer has 19 sheep All but 7 die How many are left?
Asked By
Wiki User

Who is the best gamer in the world?
Asked By
Wiki User

Who is the actress in the latest Domino's pizza commercial?
Asked By
Wiki User

What are the four features of bacteria that enable them to survive in a wide variety of habitats?
Asked By
Wiki User

What does program mean in brain teaser?
Asked By
Wiki User

How do you make your pocket emo happy?
Asked By
Wiki User

Hottest Questions

How did chickenpox get its name?
Asked By
Wiki User

Do animals name each other?
Asked By
Danika Abbott

Previously Viewed

Unanswered Questions

How do you say phoenix in Gaelic?
Asked By
Wiki User

Are poppy seeds homogeneous mixture?
Asked By
Wiki User

Is rice pudding ok for dogs?
Asked By
Wiki User

What are two types of transaction that require specialty contract?
Asked By
Wiki User

Why we require Microsoft paint?
Asked By
Wiki User

What is aminofenazona bufenina difenilpiralina?
Asked By
Wiki User

What is saging ternate?
Asked By
Wiki User

Ano ang mga nagawa o programa ni pangulong garcia para sa Pilipinas?
Asked By
Wiki User