Question

What is the smallest number by which 2916 should be divided so that the quotient perfect cube? Find the required perfect cube so obtained
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Answer 1

Answer:

2916 = 2×2×3×3×3×3×3×3

so the number of 2×2 = 4 which does not have an occurence

of three

so 2916 should be divided by 4 so that the quotient is a perfect cube.

perfect cube would be 729