Question

find the smallest by which 256 must be multiplied to obtain a perfect cube.​

Answer 1

256=2×2×2×2×2×2×2×2

=(2 ×2 3×2 2 )

=(2×2)

3 ×2

2

In this factorization there is no triplet for 2.

So, 256 is not a perfect cube.

∴ 256 has to be multiplied by 2 to make it a perfect cube.