Question

find the smallest number by which 8788 be divided so that the quotient is a perfect cube ​

Answer 1

Answer:

4

Step-by-step explanation:

For this you can factorise it.....

8788= 2*2*13*13*13

As the quotient needs to be a perfect cube thus there should be triplets like 13*13*13

Thus we should remove 2*2 as itz not a triplet.

Therefore the number to be divided is 4

Hope this helps!

Thanks!

Do mark this as the brainliest!!!

Answer 2

Answer:

4

Step-by-step explanation:

On prime factorising 8788, we get:

8788=2×2×13×13×13

The three 13 s can be grouped into 1 group of three.

But the two 2 s don't form a group of three.

So, the smallest number that must be divided from 8788 is 2×2=4.

8788/4 = 2197

2197=13×13×13 or 13³

Thus, our required number is 4 by which 8788 must be divided so that the quotient is a perfect cube.