By what number should 231525 be divided to obtain a perfect cube

Find the smallest number by which the following number must be divided to obtain a perfect cube: 135 Maths Q&A

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By what number should 231525 be divided to obtain a perfect cube

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100 Questions 200 Marks 120 Mins

Given:

The least number to be multiplied with 231525 to make it a perfect cube 

Concept used:

Factorisation 

Calculation:

231525 = 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7

We have 33 × 73 × 52 × 5 should be multiplied.

The no 5 should be multiplied to make the number a perfect cube.

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