Question

Find the smallest number by which 8640 must be divided so that the quotient is a perfect cube?

Answer 1

Hey there !

Solution:

8640 can be made a perfect cube by dividing it by a quotient. That quotient can be found out by using Prime Factorisation method.

8640 = 2^6 × 3^3 × 5

So if the 5 is not there then the number would become a perfect cube.

Hence the number must be divided by 5.

So the perfect cube we get is 8640 / 5 = 1728 which is 12^3.

Hope my answer helped !