Question

1715 - Find the smallest number by which the given number must be multiplied to obtain a perfect cube?

Answer 1

I hope it will be helpful

Answer 2

Hi ,

Resolving 1715 into prime factors ,

we get

1715 = 5 × 7 × 7 × 7

= 5 × ( 7 × 7 × 7 )

The prime factor 5 doesn't appear

in a group of three .

So, 1715 is not a perfect cube .

Hence , the smallest number by which

it is to be multiplied to make it a

perfect cube is 5 × 5 = 25

I hope this helps you.

: )