Question

What is the minimum number that should be multiplied by 360 in order to make it a perfect cube?

• A. 75
• B. 70
• C. 65
• D. 80

Answer 1

The correct option is A

75

For a number to be a perfect cube, its prime factors should be in the form of triplets i.e. every prime factor should be raised to the power in multiples of 3
Prime factorizing the given number, we get 360 = 2×2×2×3×3×5.

Hence, we can see that the given number must be multiplied by 3×5×5 i.e.75.