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Find the least number by which 1323 must be multiplied so that the product is a perfect cube.

Cube & Cube Roots

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Answer

Finding prime factors of 1323

Find the least number by which 1323 must be multiplied so that the product is a perfect cube. Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

1323=(3×3×3)×7×71323 = (3 \times 3 \times 3) \times 7 \times 7

Since the prime factor 7 does not form a triplet,

Hence, 1323 should be multiplied with 7 so that the product is a perfect cube.

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