check whether 14^n can end with the digit zero for any natural number,n.
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let 14^n ends with 0 thus 14^n is divisible by 2 &5
but prime factors if 14 are 2×7
thus prime factorisation of 14^n does not contain 5.
by fundamental theorem of arithmetic there are no other primes in the facorisation of 14^n
hence there is no natural num n for which 14^n ends with the digit 0
but prime factors if 14 are 2×7
thus prime factorisation of 14^n does not contain 5.
by fundamental theorem of arithmetic there are no other primes in the facorisation of 14^n
hence there is no natural num n for which 14^n ends with the digit 0
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