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What is the least number by which 30375 should be multiplied to get a perfect cube ?

Cube & Cube Roots

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Finding prime factors of 30375

What is the least number by which 30375 should be multiplied to get a perfect cube ? Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

30375=(3×3×3)×3×3×(5×5×5)30375 = (3\times 3 \times 3) \times 3 \times 3 \times (5 \times 5 \times 5)

Since the prime factor 3 is not in triplets.

3 should be multiplied with 30375 so that the product is a perfect cube.

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