By what least number should 4320 be multiplied so as to obtain a number which is a perfect cube

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According to the question 3 | 4320 3 | 1440 3 | 480 2 | 160 2 | 80 2 | 40 2 | 20 2 | 10 5 | 5 | 1Factors are: \( \Large 3 \times 3 \times 3 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \)Therefore, It must be multiplied by

= \( \Large 2 \times 5 \times 5 = 50 \)

Part of solved Simplification questions and answers : >> Elementary Mathematics >> Simplification

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1. By what least number should 4320 be multiplied so as to obtain a number which is a perfect cube ?

4320 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
= 23 × 33 × 22 × 5
∴  Required number = 2 × 5 × 5 = 50