check whether 12n ends with zero for any natural number.
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1
Answer:
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) .
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3
Answer:
If the number 12^n, where n is a natural number, were end with the digit 0 , then it would be divisible by 2 and 5 both
12^n = (2×2×3)^n
There are only prime factor of 12 is 2 and 3.
5 is not prime factor of 12.
By Fundamental theorem of Arithmetic Uniqueness Property guarantee that there are no other prime number in the factorisation of 12^n.
So, THERE IS NO NATURAL NUMBER OF N TO WHICH 12^n ENDS WITH DIGIT ZERO
HOPE IT HELPS YOU.
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