Q:

# What is the prime factorization of 64?

A:

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.

## Keep Learning

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.

Sources:

## Related Questions

• 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 pyramid to help you find the smallest prime numbers.

Filed Under:
• A:

The full prime factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2. The prime factorization of a number is computed by dividing the number by a small prime number, such as 2, 3 or 5, until the final value is also prime. Prime factorizations are commonly taught in school through the use of the factor tree method.

Filed Under:
• A:

The prime factors of the number 24 are 2 x 2 x 2 x 3 , or 2 to the 3rd power x 3. Two and three are prime numbers, and when three twos and a three are multiplied together, the product is the given number, which is 24.