Show that 14 cannot end with the digit 5 for any natural number n.
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Step-by-step explanation:
If any number ends with the digit 0, it should be divisible by 10 or in other words, it will also be divisible by 2 and 5 as 10 = 2 × 5
Prime factorisation of 14n = (2 ×7)n
It can be observed that 5 is not in the prime factorisation of 14n.
Hence, for any value of n, 14n will not be divisible by 5.
Therefore, 14n cannot end with the digit 0 for any natural number n.
Hope it helps you.. and thanks for reading
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