# What is prime factorization?

"Prime factorization" is the process of finding which prime numbers(prime factors) you need to multiply together to get a certainnumber. Examples: 21 = 3 x 7 10 = 2 x 5 20 = …2 x 2 x 5 60 = 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 smallestprime numbers first. For example, we wouldn't write 60 = 3 x 2 x 2x 5. Some texts prefer to write the answer using exponentialnotation, so that the final answer would be written as 60 = 2^2 x 3x 5. A prime number is a number that has no factors other than itselfand 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 Factors A factor which is a prime number is called a primefactor. Every positive integer can be expressed as a product of primenumbers (its prime factorization). Moreover, each positive integerhas only one prime factorization. The prime factors can be found by successive division by primenumbers of increasing value. EXAMPLE : The prime factorization of 54 is 2 x 3 x 3 x 3 This can be written as 2 x 3^3 The prime factors of 54 are thus 2 and 3. With large numbers, prime factorization is very time-consuming. Ifthere was a quick way to factorize numbers, then it would be easyto break RSA encryption, which uses prime factors, and therebyintercept secret communications over the internet. Prime factorization is expressing a number as the product of itsprime factors. Example: 210 The prime factors of 210 are 2, 3, 5and 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 manyprimes.) if a number is not prime, there are primes than can be multipliedtogether to get it. ( * means multiply) For example 4 = 2 * 2; 6 = 2*3 ; 9 = 3 * 3; 10 = 2* 5; 14= 2 * 7;15 = 3* 5 Sometimes 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 eitherprime or else is the product of primes. Further, except for theorder, there is only one set of primes whose product is some givennumber. These primes are called the prime factorization of thenumber. ( Numbers that are multiplied together are called factors.) The prime factorization is useful in many ways, but one basic useis for finding the greatest common factor and the least commonmultiple. All composite numbers can be expressed as unique products of primenumbers. This is accomplished by dividing the original number andits factors by prime numbers until all the factors are prime. Afactor tree can help you visualize this. Example: 210 210 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 = 210 That'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. 20 5x4 5x2x2 This process is prime factorisation. All composite numbers can be expressed as unique products of primenumbers. This is accomplished by dividing the original number andits factors by prime numbers until all the factors are prime. Afactor tree can help you visualize this. Example: 210 210 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 = 210 That'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, 19 Prime factorization is the expression of a number as the product of its prime factors. 2 x 3 x 5 x 7 = 210 Prime factorization is the expression of a number as the product of its prime factors. 2 x 3 x 5 x 7 = 210 .

# What are prime factorizations?

Prime factorization is finding the factors of a number that are all prime. Here's how you do it: Find 2 factors of your number. Then look at your 2 factors and determine if on…e or both of them is not prime. If it is not a prime factor it. Repeat this process until all your factors are prime. Here's an example: Find the prime factors of the number 84: 84 / \\ 42 x 2 (84 is 42 times 2) / \\ 21 x 2 (42 is 21 times 2) / \\ 7 x 3 (21 is 7 times 3) (7 and 3 are both prime, so we stop!) So the prime factors of 84 are 7 x 3 x 2 x 2.

# What are factors and primes?

Factors are whole numbers that divide exactly into a whole number.These numbers have no remainder. Primes, on the other hand, haveexactly two factors which are 1 and itself.

# What is a prime and factor?

All numbers have factors. These are numbers that multiply together to make the original number. Some of those factors are prime numbers. A number is prime if it only has t…wo factors: one and the number itself.

# How do you prime factorize?

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: 210 210 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 = 210 That's the prime factorization of 210.

# How do you get a prime factorization?

You get a prime factorization by figuring out the factors of the number and then figuring out the factors of those numbers. If the number is prime there is no prime factorizat…ion. prime factorization.

# What is factor that are prime?

That's pretty self-explanatory. Prime numbers can be factors of other numbers. 2 and 3 are prime factors of 6.

# What does prime factorization?

If you pay me ÂŁ50 I'll do it for you.

# What is a prime factoralization?

Any number can be broken down, or factored, into smaller and smaller factors which multiply to give the original number, when you have reached the smallest possible factors, t…hen those factors will be prime, all those factors together constitute the prime factorization of that number.

# What is a prime factor and a example for prime factor?

All nonzero numbers have factors. Some factors are prime numbers. 5 is a prime factor of 10.

# What are the prime factors and prime factorization?

All numbers have factors. Some factors are prime numbers. These are prime factors. A factor string where all the factors are prime numbers is called a prime factorization.

# How do you answer prime factorization?

by finding the prime numbers up to 100

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# What are prime factor?

All nonzero numbers have factors. Some factors are prime numbers. These are known as prime factors. 1, 2, 3 and 6 are the factors of 6. 2 and 3 are the prime factors of 6.

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# What are the prime factors and prime factors of 204?

2 x 2 x 3 x 17

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# What does prime factors?

Prime Factors get you even numbers

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# How do you do prime factors?

Prime factors are prime numbers that have only two factors which are themselves and one. The first ten prime numbers are: 2 3 5 7 11 13 17 19 23 and 29

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# What is the prime factorization of A?

That depends on the value of A.