16 and 81 are the only two.
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There are five numbers in that range with 12 factors, but none with exactly eleven.
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
Numbers having exactly three factors are the squares of prime numbers. Examples of these numbers greater than 100 are 121, 169, 289, 361, 529, 841, etc.
Just 36.
All of the numbers from 1 to 100 are the factors in the set of numbers from 2 to 100.