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Q)

Find the smallest no. By which 2560 must be multipled so that the product i

Find the smallest no. By which 2560 must be multipled so that the product is a perfect cube.

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A)

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.

 

 

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