Find the smallest number by which 180 must be multiplied so that  it becomes a perfect square. Also find the square root of the perfect square so obtained.

Explanation

To solve the problem of finding the smallest number by which 180 must be multiplied to become a perfect square, and then finding the square root of that perfect square, we can follow these steps:

### Step 1: Prime Factorization of 180
First, we need to perform the prime factorization of 180.

- Divide 180 by the smallest prime number, which is 2:
\[
180 \div 2 = 90
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