Numbers not divisible by odd numbers

[aham]

I am stumped on these types of problems. Can someone please provide clarity on how to approach these problems?

How many positive integers from 2 to 100 inclusive are not divisible by odd integers greater than 1?

a) 5
b) 6
c) 8
d) 10
e) 50

[givemeanid]

The only numbers not divisible by odd numbers will be powers of 2. (Remember that prime numbers are divisible by themselves and they are all odd except for 2 which is the only even prime).

So, 2, 4, 8, 16, 32, 64 are the only ones.

[rrao]

I agree, good approach!

[saurabhladha]

givemeanid good thinking , awesome

[ken_english]

GivemeanId ..you never stop to amaze me !!! great work

[1bbinfo]

The ans is B.