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## Homework Statement

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.