Question

Find the smallest number by which 78732 be divided so that qoutient is a perfect cube number

Answer 1

Answer:

4

Step-by-step explanation:

prime factorization of 78732= 3⁹×2²

factor 3 is making triplets

but factor 2 is not in triplet

hence we have to divide by 2×2=4

Answer 2

resolving 78732 in prime factors

Step-by-step explanation:

78732=2×2×3×3×3×3×3×3×3×3×3 grouping the factors in triplets of equal factors we get 2×2×(3×3×3×)×(3×3×3×)×(3×3×3×) clearly if we divide 787832 by 2×2=4