Question

What is the smallest number by which 31752 must be divided so that the quotient is a perfect cube? Plss Help.With Steps Please.Urgent.Plss

Answer 1

Answer:

The smallest number by which 31752 must be divided so that the quotient is a perfect cube is

216 i.e. 6^3

Answer 2

Answer:

By factorization method, we get,

31752 = 2*2*2*3*3*3*3*7*7

So 3*7*7 = 147 is left behind.

So, we must divide the no. 31752 with 147 to make it a perfect square.