Find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square. Also in each find the square root of the perfect square so obtained.

Explanation

To solve the problem of finding the smallest number by which 1100 must be multiplied to become a perfect square, we can follow these steps:

### Step 1: Prime Factorization of 1100
First, we need to find the prime factors of 1100.

- Divide 1100 by 2:
\( 1100 \div 2 = 550 \)
- Divide 550 by 2:
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