What is the smallest number by which 1944 must be multiplied to get a perfect cube write the cube and its cube root?

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1. The least number, by which 1944 must be multiplied so as to make the result a perfect cube, is

∴  1944 = 2×2×2×3×3×3×3×3

= 23 × 33 × 32

Clearly, 1944 should be multiplied by 3 to make the result a perfect cube.

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