Question

How many multiples of two does the prime factorization of the number 96 have

Answer 1

96 is a composite number. 96 = 1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12. Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. Prime factorization: 96 = 2 x 2 x 2 x 2 x 2 x 3, which can also be written as 2⁵ x 3.

Answer 2

`96=2^5\cdot 3`

Explanation:

We are given that a number 96

We have to find how many multiples of two which used in prime factorization of 96.

In order to find the number of multiples of two used in 96 factorization we will find the prime factorization of 96.

`96=2* 2* 2* 2* 2* 3`

`96=2^5\cdot 3`

There are 2 comes five times and 3 comes one times.

Therefore,5 multiples of 2 does the prime factorization of the number 96.