1.

Show that 12 n cannot end with the digit 0 or 5 for any natural number n

Answer» For any number ending with 0 or 5 must have its factors as 2n * 5n as 0 as unit digit is only possible by the interactions of powers of 2&5.Since factors of 12 are 2 and 3. There is no 5 as factor.Therefore 12n can\'t end with 0 or 5


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