Question

what is smallest no by which 8649 should be divided to make quiotient the prefect cube ? ​

Answer 1

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Explanation.

First do the prime factorisation of 8649.

8649= 2×2×2×2×2×2×3×3×3×5.

8649= 2³x 3³x 5.

here 5 is the only number which is not in the cube form.

so the smallest Number will be 5.

Therefore..

The smallest number by which 8649 should be divided to make quotient the perfect cube is 5.