Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the number whose square is the resulting number.

Explanation

To solve the problem of finding the smallest number by which 1152 must be divided to become a perfect square, and to find the square root of the resulting number, we can follow these steps:

### Step 1: Prime Factorization of 1152
First, we need to find the prime factors of 1152.

1. Divide 1152 by 2:
- 1152 ÷ 2 = 576
2. Divide 576 by 2:
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