Question

show that the number of the form 14^n where n is an natural number can never end with digit 0

Answer 1

The number 14^n can never end with a zero because it doesn't has factors 2* 5 and for a number to end in a zero there should be at least one pair of 2*5.

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Answer 2

the above number 14^n can never end with 0 since for n=1,2,3... the unit digit will be 4/6 ..it can never be different than 4 or 6 for natural number.