Question

What is the smallest number that should be multiplied by 675 so that the resultant number will become a perfect square?
1. 5
2. 7
3. 9
4. 3

Answer 1

Correct Answer - Option 4 : 3

Given:

The number is 675.

Concept:

When we do prime factorization a perfect square number, the prime factors obtained can be arranged in pairs.

Calculation:

675 = 5 × 5 × 3 × 3 × 3

⇒ 675 = (5 × 5) × (3 × 3) × 3

Here, we can see one 3 is required to make complete pairs.

∴ The smallest number is 3.