Question

Find the smallest number by which 8788 be divided so that the quotient is
perfect cube.
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Answer 1

Prime factorise 8788

8788=2×2×13×13×13

2 is the only no. which is not in pair of 3

To make this no. a perfect cube----> It must be divided by 4

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Answer 2

$\huge{\mathfrak{\green{S}}}{\mathfrak{o}}{\mathfrak {\orange {l}}}{\mathfrak{\red{u}}}{\mathfrak {\pink {t}}}{\mathfrak{\blue{i}}}{\mathfrak{\purple {o}}}{\mathfrak {\gray {n}}}$

=>8788=2×2×13×13×13

=>8788=2² ×13³

=>8788=4×13³

=> 48788 =13³

Hence ,while dividing 8788 with a smallest number and we get quotient is a perfect cube is 4