Question

find the smallest number by which 8788 be multiplied to get a perfect cube FULL STEP BY STEP​ class 8

Answer 1

Answer:

2

Step-by-step explanation:

Prime factorising 8788, we get,

8788=2×2×13×13×13

          =22×133.

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