How many positive integers, from 2 to 100, inclusive, are not divisible by odd integers greater than 1?
The question clearly says that we need to find numbers which do not have odd factors.
So the number must be of the form \(2^n\)
Hence the numbers in the given range are \(2, 2^2, 2^3, 2^4, 2^5 \quad and \quad 2^6\)
So totally 6 numbers exits.
Averages Accelerated:Guide to solve Averages Quickly(with 10 practice problems)