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.


  • -8

The smallest number near 2560 which can be squared is,

50; 50*50= 2500 which is near to 2500.

  • -5
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