Question

find the least number by which 34992 should be multiplied to make a perfect cube.Also find the cube root of the product in each case..​

Answer 1

Answer:

By Prime Factorization,

34992 = 2×2×2×2×3×3×3×3×3×3×3

Hence, 36 is the least number by which 34992 should be multiplied to make a perfect cube.

Cube root = 2×2×3×3×3 = 108