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Question

Show that a number of the form 14n, where n is a natural number can never end with digit zero.

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Solution

Consider the series of 14n
Which is 14,196,2744,38416...
If we observe the units digit has only 2 repeated numbers 4,6
For zero to occupy units place either 10 or both 2,5 should be multiplied which doesn't take place here
So zero cannot be the units digit of the series 14n


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