Question

find the smallest number by which 8788 must be multiplied to obtain a perfect cubefind the smallest number by which 8788 must be multiplied to obtain a perfect cube​

Answer 1

Step-by-step explanation:

Answer:

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,

8788=2\cdot2\cdot13\cdot13\cdot138788=2⋅2⋅13⋅13⋅13

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

Thus, the prime factorization of 8788 is 8788=22×133. We observe that 133 is already a perfect cube. So, to make 8788 a perfect cube, we need to make 22 a perfect cube. Thus, the smallest number by which we need to multiply 22 is 2

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