Question

Find the smallest number by which 3600 is multiplied to make a perfect cube.
1. 40
2. 60
3. 30
4. 10

Answer 1

Correct Answer - Option 2 : 60

Given:

Given number = 3600

Calculation:

Factors of 3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5

⇒ 2⁴ × 3² × 5²

To make a perfect cube its must be multiplied by 2², 3 and 5

⇒ 2² × 3 × 5

⇒ 60

∴ The smallest number 60 is multiplied to make a perfect cube.