Find the smallest number by which 3645 must be divided so that it becomes a perfect square. Also find the square root of the resulting number.

Explanation

To solve the problem of finding the smallest number by which 3645 must be divided so that it becomes a perfect square, and also to find the square root of the resulting number, we can follow these steps:

### Step 1: Prime Factorization of 3645
We start by finding the prime factors of 3645.

1. Divide 3645 by 3:
\[
3645 \div 3 = 1215
...