Question

Cheack ulhethes 6 can end with the degit 0 for any natiural number

Answer 1

Answer:

In order to check whether 6n can end with the digit 0 for any natural number n, let us find the factors of 6.

It’s seen that the factors of 6 are 2 and 3.

\begin{aligned} &\text { So, } 6^{n}=(2 \times 3)^{n}\\ &6^{n}=2^{n} \times 3^{n} \end{aligned}

So, 6

n

=(2×3)

n

6

n

=2

n

×3

n

Since, the prime factorization of 6 does not contain 5 and 2 as its factor, together. We can thus conclude that 6n can never end with the digit 0 for any natural number n.