Question

What is the prime factorization of 32 ? Enter your answer as a product of prime numbers, like 2\times 3, or as a single prime number, like 17.

Answer 1

The prime factorization of 32 is 2 to the power of 5, which can be expressed as 2 x 2 x 2 x 2 x 2.

Step-by-step explanation:

Prime Factorization of 32

The prime factorization of a number is the process of breaking it down into the set of prime numbers that multiply together to result in the original number. The number 32 is a power of 2, and its prime factorization is as follows:

32 = 2 x 16

16 = 2 x 8

8 = 2 x 4

4 = 2 x 2

Combining all these factors, we get:

32 = 2 x 2 x 2 x 2 x 2

Since all the factors are the same, we can express this as:

32 = 25

Therefore, the prime factorization of 32 is written as the product of prime numbers, like this:

25, which simplifies to 2 x 2 x 2 x 2 x 2.