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Check whether 6n can end with the digit 0 for any natural number n.

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Any positive integer ending with the digit zero is divisible by 5 and so its prime factorisations must contain the prime 5.

6n = (2 × 3)n = 2n × 3n

=> The prime in the factorisation of 6n is 2 and 3.

=> 5 does not occur in the prime factorisation of 6n for any n.

=> 6n does not end with the digit zero for any natural number n.

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