Question

find the smallest value of k when 1960k is a perfect cube?

Answer 1

If you decompose in prime factors, you get 175=52⋅7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube, i.e. 53⋅73 .

This number is k=5⋅72=245 .

In fact 245×175=42875=353

Answer 2

Answer:

hope it will help you...............