325 perfect cube -48 And the resulting perfect cube is 1188 +44 = 27 (=3-). Example 5: Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube. ution. We have, 68600 = 2 x 2 x 2 x 5 x 5 x 7 x 7 x 7. In this factorisation, we 5 cm