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+6 votes
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Check whether 5^n can end with the digit 0 for any natural number n

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Solution: To Check whether 5n can end with the digit 0 for any natural number n

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 
It can be observed that 2 is not in the prime factorisation of 5n
Hence, for any value of n, 5n will not be divisible by 2. 
Therefore, 5n cannot end with the digit 0 for any natural number n.

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