Find all the positive divisors of [itex] 10^n [/itex]
where n is a positive integer.
The Attempt at a Solution
can I factor this like [itex] 2^n5^n [/itex]
I notice that 10 has 4 divisors and 100 has 8
so it might seem that it has 4n divisors but im not should how to give a nice proof of it.