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Mathematics

Find the smallest number by which 27783 should be multiplied to get a perfect cube number.

Cube & Cube Roots

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Answer

Finding prime factors of 27783

Find the smallest number by which 27783 should be multiplied to get a perfect cube number. Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

27783=(3×3×3)×3×(7×7×7)27783 = (3 \times 3 \times 3) \times 3 \times (7 \times 7 \times 7)

Since the prime factor 3 is not in triplets,

3 x 3 = 9 should be multiplied with 27783 so that the product is a perfect cube.

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