check whether 2n can end with the digit 0 for any natural number n
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Yes,it can be end.......
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If 2n ends with zero it must have 5 as the factor.
But,(2n)=2n shows that 2 is only prime factor of 2n.
Also we know that fundamental theorem of arithmetic that the prime factorisation of each no. is unique.
So,5 is not a factor of 2n.
Hence 2n can never end with the digit zero.
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