Find the smallest number by which 180 must be multiplied so that the product is a perfect square.

Explanation

To find the smallest number by which 180 must be multiplied so that the product is a perfect square, we can follow these steps:

### Step 1: Find the Prime Factorization of 180
First, we need to find the prime factors of 180. We can do this by dividing 180 by the smallest prime numbers until we reach 1.

- 180 ÷ 2 = 90
- 90 ÷ 2 = 45
- 45 ÷ 3 = 15
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