Question

find the Smallest number by which 8788 must be multiplied to obtain a perfect cude?​

Answer 1

Answer:

The required number by which 8788 must be multiplied to obtain a perfect cube is 2.

Answer 2

Answer:

Prime factorising 8788, we get,

8788=2×2×13×13×13

$= 2 {}^{2} \times 13 {}^{3}$

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 2's is 2 and number of 13's is 3.

So we need to multiply another 2 to the factorization to make 8788 a perfect cube.

Hence, the smallest number by which 8788 must be multiplied to obtain a perfect cube is 2.