Question

The smallest number by which 168 must be divided to obtain a perfect cube is​

Answer 1

Step-by-step explanation:

Let's start by taking out the prime factorization of 168 which is

2cube×3×7

So , 168 is not a perfect cube.

Hence the smallest number which is to be divided to make it a perfect cube is 3×7

=27

168/27 =8

8=2cube.

Therefore the smallest number that can be divided to 168 to give the quotient a perfect cube is 27.