Question

Find the smallest number by which 8788 must be multiplied to obtain a perfect cube? ​

Answer 1

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

Step-by-step explanation:

Given : Number 8788

To find : Smallest number by which 8788 must be multiplied to obtain a perfect cube?

Solution :

To find the number which has to be multiplied we have to factor the given number.

Factor of 8788,

Since, one pair of cube 13

And we require 2 to make it a cube.

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

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Answer 2

Step-by-step explanation:

Prime factorising 8788, we get,

8788=2×2×13×13×13

=2

2

×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.