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

first we will write 2560 in its prime factors.

thus the power of is 3. to make the number a perfect cube , we need to make the power of 5 also 3.

thus we must multiply be

so must multiply by 25 to make 2560 a perfect cube.

hope this helps you.

cheers!!

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