Prime squares: 4, 9, 25 and 49.
No numbers between 1 and 100 have exactly eleven factors. 60, 72, 84, 90 and 96 each have twelve factors.
Three numbers.
The factors of all of the numbers from 1 to 100 are all of the numbers from 1 to 50.
All of the numbers from 1 to 100 are the factors in the set of numbers from 2 to 100.
878 three digit numbers have an even number of factors. Every factor of a number has a pair, so there ought to be an even number of factors for every number. However, if a pair of the factors are the same number, then there will be an odd number of factors, that is if the number is a perfect square. Assuming three digit numbers are 100 to 999: From 100 to 999, the perfect squares are 102 = 100 to 312 = 961, a total of 31-10+1 = 22 numbers. So of the 999-100+1 = 900 three digit numbers, 22 have an odd number of factors, so 900-22 = 878 have an even number of factors.
Each of the 25 prime numbers from 1 to 100 has exactly two factors, 1 and the number itself. The other 75 numbers from 1 to 100 are not prime numbers because none of them have exactly two factors.
A prime number has no other factors except itself and 1. There are three numbers between 80 and 100 that are prime: 83, 89 and 97.
4, 9, 25, and 49 are all of the numbers between 1 and 100 having 3 factors.
The only common factor of these numbers is 1.
There aren't any numbers between 1 and 100 with 16 factors.
There are 25 prime numbers between 1 and 100, all of them can be factors.
There are 27 numbers between 1 and 100 that are divisible by three but not by five.