Check whether 6^n can end with the digit 0 for any natural number n
No, 6^n cannot end with the digit 0, for any natural number. To end with the digit 0 the prime factorisation of the number should contain 2 and 5 as its prime factors but prime factorisation of 6^n = ( 2 x 3 )^n. hence by fundamental theorem of arithmetic there is no other prime factoristaion of 6^n possible.
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