By what least number should 1536 be divided to get a perfect cube?

The prime factorization of 1536 is :


2



1536



2



768



2



384



2



192



2



96



2



48



2



24



2



12



2



6



3



3




1



1536 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3


So, we can see that to make it a perfect cube we should eliminate one 3 from it.


Hence, it will be divided by = 3.

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