Find the least number with which 16200 should be multiplied, to make it a perfect cube ?

Q: Find the least number with which 16200 should be multiplied, to make it a perfect cube ?

16200 = 2 3 × 3 4 × 5 2 A perfect cube has a property of having the indices of all its prime factors divisible by 3. Required number = 3 2 × 5 = 9x5 = 45.

Correct Answer: 45

Explanation:

16200 = $23 \times 34 \times 52$

A perfect cube has a property of having the indices of all its prime factors divisible by 3.

Required number = $32 \times 5$ = 9x5 = 45.

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