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## Homework Statement

How many positive divisors does each of the following have?

[tex] 2^n [/tex] where n is a positive integer.

and 30

## The Attempt at a Solution

for 30 i get 2 , 5 , 3 , 10

but my book says 2 ,3 ,5 I dont understand why 10 isn't a divisor.

and for 2^n im trying to look for a pattern if n=1 i get no divisors

and n=2 i get 1 divisor and n=3 i get 2 divisors so would it be

2^n has n-1 divisors?