# What is the prime factorization of 32?

Prime factorization means expressing a composite number as the product of its prime factors.

## Answer: The prime factorization of 32 is 2 × 2 × 2 × 2 × 2 = 2^{5}.

Let us express 32 in terms of the product of its prime factors.

**Explanation:**

**Step 1:**To get the prime factorization of 32, we divide it by its smallest prime factor, which is 2. 32÷ 2 = 16**Step 2:**Now, 16 is divided by its smallest prime factor and the quotient is obtained. 16÷2 = 8**Step 3:**This process goes on till we get the quotient as 1. 8 ÷ 2 = 4, 4 ÷ 2 = 2, 2 ÷ 2 = 1 .

Prime factorization of 32 = 2 × 2 × 2 × 2 × 2.

The process of finding the prime factorization of 32 is shown below: