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Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.

Cube & Cube Roots

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Answer

Finding prime factors of 8768

Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube. Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

8768=(2×2×2)×(2×2×2)×1378768 = (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times 137

Since the prime factor 137 is not in triplet,

8768 will be divided by 137 so that the quotient is a perfect cube.

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