Question:
Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.
Solution:
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8788
8788 can be expressed as the product of prime factors as $2 \times 2 \times 13 \times 13 \times 13$.
Therefore, 8788 should be divided by 4 , i.e. $(2 \times 2)$, so that the quotient is a perfect cube.