Q6 of 45 Page 7

Find the smallest number by which 128 must be divided to obtain a perfect cube.

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2


Here, one 2 is left which is not forming a triplet.


So, if we divide 128 by 2, then it will become a perfect cube


Therefore,


128/2 = 64 = 2 x 2 x 2 x 2 x 2 x 2 is a perfect cube


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Find the smallest number by which 675 must be multiplied to obtain a perfect cube.

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Show that the following integers are cubes of negative integers. Also, find the integer whose cube is the given integer.

(i) -5832


(ii) -2744000