Question

By what smallest number should 546750 be divided so that the resulting number is a perfect cube.


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Answer 1

Answer:

Firstly we need to factorize the number 5184

After factorization we get,

⇒5184=

2*2*2*

2∗2∗2

∗

3∗3∗3

∗

3

We need to group the expanded numbers in a group of three since it has to be a perfect cube.

The number 3 does not form a triplet. Hence the number 3 has to be divided so that the quotient becomes a perfect cube.