Question

Check whether 12 power n can end with the digit 0 for any natural no. N

Answer 1

if 12n ends with digit zero then it's prime factorisation must contain 2&5 but 12n did not consist 5 so 12n can't ends with digit zero

Answer 2

No. for a number to end with 0 it shld have 2 and 5 in its prime factorization. prime factorization of 12 has only 2 and 3. So according to fundamental thm of arithmetic 12 power n cannot end with 0.