Show that 12n cannot end with the digit 0 or 5 for any natural number – InterviewSolution

1.

Show that 12n cannot end with the digit 0 or 5 for any natural number n.

Answer»

12n can only end with digits 0 or 5 when it baseprime factors include 2 and 5 as its factors.

but 12 has not 2 and 5 as its prime factors . so it is impossible for 12n to end with the digit 0 or 5

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