Question

Check whether 12^n can end with digit 0 for any natural number n

Answer 1

Step-by-step explanation:

Answer. Here, Number=12n where n stand for any natural number . Now , For 12n to end with 0, it should have 2 as well as 5 in its Prime factors to end with 0, Also to end with 5 , it requires at least a single multiple of 5 in its Prime Factors, So 12n cannot end with the digit 0 or 5.

Answer 2

Step-by-step explanation:

If the number 12^n ends with the digit zero, then it is divisible by 5. Therefore, the prime factorisation of 12^n should contain 5. This is not possible because the prime factorisation of 12 are 2 and 3.