Which of the following numbers is a perfect cube?

i) 46656 ii) 5324

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

The prime factorisation of the given numbers is as follows:


46656 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

5324 = 2 x 2 x 11 x 11 x 11

 

Making triplets, we find that 46656 is a perfect cube.

Answered by  | 4th Jun, 2014, 03:23: PM