Question

Prove that there is no natural no for which 6n ends with digit 0

Answer 1

If the no 6n were to end with the digit zero then it would be divisible by 5.
i.e,the prime factorisation of 6n contains the prime 5.
This is not possible because 6n=2n×3n
so,only prime in the factorisation are 2 and 3
Then there is no natural no "n" for which 6n ends with the digit zero

Answer 2

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