Question

2) Find the *smallest number* by which 8788 must be *divided* so that the quotient is a perfect cube.​

Answer 1

Prime factorisation of 8788 is 2 × 2 ×13×13×13

So, here the triplet of 13 is Completed but 4 left which is not a perfect cube.

So, we have to divide it by 4 to get a perfect cube.

Answer 2

Answer:

Resolving 8788 into prime factors, we get

2|8788

_________

2|4394

_________

13|2197

_________

13|169

_________

**** 13

8788 = 2×2×13×13×13

The prime factor 2 does not appear in a group of three factors. So, 8788 is not a perfect cube.

Hence , the smallest number which is to be divided to make it a perfect cube is 2×2 = 4

Therefore,

8788/4=13^3