Show that any number of the form 6p, where nEN can never – InterviewSolution

1.

Show that any number of the form 6p, where nEN can never

Answer»

Observe the concept

A number ends with zero must 2 and 5 as its prime factors.Consider 2020 = 2 × 5 × 2 , 2 and 5 are present.

Now, we see that 6ⁿ can be expressed as(2×3)ⁿ. But it does not have 5 so, it is not possible that 6ⁿ will end with 0.

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