Question

Check whether 6n can end with the digit 0 for any natural number n.

Answer 1

Step-by-step explanation:

If the number 6n ends with the digit zero (0), then it should be divisible by 5, as we know any number with unit place as 0 or 5 is divisible by 5.

Prime factorization of 6n= (2×3)n

Therefore, the prime factorization of 6n doesn’t contain prime number 5.

Hence, it is clear that for any natural number n, 6n is not divisible by 5 and thus it proves that 6n cannot end with the digit 0 for any natural number n.

Answer 2

Answer:

it can only end if the factors are 2x5

so n has to be 2x5 then only 6n can end with a zero

Step-by-step explanation: