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# What Is Prime Factorization in Math?

In mathematical terminology, prime factorization is finding the prime numbers that multiply together to make a particular number. A prime number is a whole number larger than one that is evenly divisible by only itself and one. Two is the smallest prime number.

Continue ReadingThe factors of a given number are those numbers that divide evenly into the given number. To perform prime factorization of the number 100, for instance, start by breaking down 100 into two factors, such as 25 x 4. Neither of those factors is a prime number. The number 25 can be broken down into 5 x 5. Five is a prime number. The number 4 can be broken down into 2 x 2. Two is also a prime number. The prime factorization of 100 is 5 x 5 x 2 x 2, or 5² x 2².

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## What Is the Prime Factorization of 48?

A: The prime factorization of 48 is 2 x 2 x 2 x 2 x 3 or 2 to the 4th power x 3. Prime factorization is also called integer factorization, and sometimes prime... Full Answer >Filed Under: -
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## How Do You Find Prime Factorization?

A: To perform the prime factorization of a number, determine the prime numbers that, when multiplied, equal the original number. Then, make a prime factor pyr... Full Answer >Filed Under: -
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## What Is the Prime Factorization of 24?

A: The prime factorization of 24 is 2 x 2 x 2 x 3. Thus, the number 24 has only 2 prime factors, 2 and 3. Prime factors of 24 are numbers that divide 24 exact... Full Answer >Filed Under: -
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## What Is the Prime Factorization of 72?

A: The prime factorization of 72 is 23x 32, or 2 x 2 x 2 x 3 x 3. The prime factorization of a number involves determining the factors of a number that are al... Full Answer >Filed Under: