Question

find the smallest number by which 2560 must be multiplied so that the product is a perfect cube​

Answer 1

Answer:

$25$

Refer the above attachment for clear explanation..

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Answer 2

Answer:

2560 = 5 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

That mean......,

2560 = 5 x 2^9

That is again......,

2560 = 5 x 2³ x 2³ x 2³

So if we multiply 2560 with 5²,

It becomes a perfect cube....