Question

What is the minimum number that should be multiplied with 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 $360=2\times 2\times 2\times 3\times 3\times 5$

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