Question

Prove that (12)n can never end with digit zero

Answer 1

12n Can't end with the digit zero (0) because for ending with digit zero (0) it is necessary for having the factor 2 and 5 but here the factor is 2 × 2 × 3. so, 12n can't end with the digit zero (0) . If the number 12^n ends with the digit zero, then it is divisible by 5

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