Josef and Timothy play a game in which Josef picks an integer between 1 and 1000 inclusive and Timothy divides 1000 by that integer and states whether or not the quotient is an integer. How many integers could Josef pick such that Timothy's quotient is an integer?
You can just count the number of factors of 1000, which is 4x4=16.
There are 16 because there are 16 divisors of 1000.
You are very welcome!