Question

show that a number of the form 14n and n is a natural number can never end with digit zero

Answer 1

14=2×7
The prime factorisation of the specific number should be in the form 2m×5n to end with digit zero. The prime factorisation of 14 does not contain 5.Hence 14n cannot end with digit zero

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Answer 2

Answer:

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Step-by-step explanation:

Assume that 14th can end with 0,

                     =14 = 2 x 7

                     = 14n = (2 x 7)n............. (1)

(1) is unique by fundamental theorem of arithmetic and it doesn't

            Hence, 14n never ends with digit 0.

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