IS 68600 A PERFECT CUBE?IF NOT FIND THE SMALLEST NUMBER BY WHICH 68600 BE MULTIPLIED SO AS TO GET A PERFECT CUBE?

68600=(2*2*2)*5*5*(7*7*7)

The prime factor 5 is not in triplets,

therefore 68600 is not a perfect cube.

Thus,

the smallest number required=5.

68600*5=(2*2*2)*5*5*5*(7*7*7)

34300=(2*2*2)*(5*5*5)*(7*7*7)

Cube root of 34300=2*5*7

=70