Find the smallest number by which each of the following number must be divided so that quotient is a perfect cube also the cube root of the quotient 3584
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Answer:
3584=2x2x2x2x2x2x2x2x2x7
Thus,the least number to be divided to form a perfect cube is 7.
3584/7=2x2x2x2x2x2x2x2x2x7/7
The perfect cube obtained is 3584/7=512.
512=2x2x2x2x2x2x2x2x2
Therefore,the cube root of 512=2x2x2=8
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