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The process of factorization is breaking a number down into smaller parts. Sometimes you are asked to list the factors, which are all the numbers that divide into a given number evenly, with no remainder. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

Sometimes you are asked to provide the prime factors which are the prime numbers that multiply to make the number. The prime factorization of 36 is 2 x 2 x 3 x 3.
"Prime Factorization" is finding which prime numbersmultiply together to make the original number.

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