Maths-

General

Easy

Question

# Find the smallest square number by which 9408 must be divided , so that it becomes a perfect square.

Hint:

### By prime Factorize the given number and we find the number to be divided to get the perfect square.

## The correct answer is: 3

### Ans :- 3

Explanation:-

prime factorize 9408

9408 = 2 × 4704

= 2 × 2 × 2352

= 2 × 2 × 2 × 1176

= 2 × 2 × 2 × 2 × 588

= 2 × 2 × 2 × 2 × 2 × 294

= 2 × 2 × 2 × 2 × 2 × 2 × 147

= 2 2 × 2 × 2 × 2 × 2 × 3 × 49

= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7

By observation if we divide the number 9408 by 3 we get the perfect square.

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