find the smallest number by which 2560 must be multiplied so that the product is a perfect cube
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Take Prime factors of 2560.
2560 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5.
The product has 3 set of 23 and a 5.
Clearly, to make it a perfect cube, it must be multiplied by 5 x 5 i.e. 25.
Step-by-step explanation:
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