Q:

What is the prime factorization of 64?

A:

Quick Answer

The prime factors of the number 64 are 2 x 2 x 2 x 2 x 2 x 2 or 2 to the 6th power. The number 2 is a prime number and when you multiply six 2’s the product is the given number, which is 64.

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Full Answer

A prime number has no other factors aside from 1 and itself. The process of finding which prime numbers when multiplied together will result to a certain number is called prime factorization. The method is done by breaking the original number into two of its factors and continuously splitting these factors until all of them are prime numbers. Making a factor tree is a good visual approach to performing prime factorization.

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