Question

Check weather 12^n can end with the digit zerofor any natural number n

Answer 1

Answer:

it cannot end with zero.

because,

here ,the number is 12^n.where n is called natural number.

Now , if 12^n is to end with zero,it should have 2 and also 5 in its prime factors to end with zero.it needs at least a single multiple of 5 or any number  in its prime factors.so 12^n cannot end with zero for any natural number

hope it will help u

Answer 2

12^n here units digit is 2

we can know the last digit of the number 12^ n

since last digit is 2

if n=2 then last digit of 12^2 is 4

if n=3 then last digit of 12^3=2^3=8

n=4 then last digit of 12^4 is 2^4=16

if n=5 last digit of 12^5 is 2^5 =32

so for any value of n 12^n ends with 2,6,8 only

so for any value of n 12^n doesn't end with 0