Question

Is 17496 a perfect cube? If not, find the smallest natural number by which 17496 must be divided so that the quotient is a perfect cube.​

Answer 1

Answer:

128

Step-by-step explanation:

Answer 2

Answer: No

Step-by-step explanation: While finding the perfect cube of a number by prime factorisation method the prime factors are grouped in triplets.

The prime factors of 17496 are:3×3×3×2×2×2×3×3×3×3

So while grouping one 3 is left ungrouped. So 3 must be divided with 17496 so that the quotient is a perfect cube.

Hope this helps you....