88 has exactly eight factors (1, 2, 4, 8, 11, 22, 44 & 88)
100.....1,2,4,5,10,20,25,50,100
The square of any prime number has exactly three factors: 22, 32, 52, etc.
1 is the only number between 1 and 100 that has too few factors to be a prime number.
In that range, only 100 has exactly 9 factors.
65
81 has 5 factors: 9x9 3 x 27 1 x 81
100.....1,2,4,5,10,20,25,50,100
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
The square of any prime number has exactly three factors: 22, 32, 52, etc.
To have an odd number of factors, the number must be a square. The only squares between 80 and 100 ()inclusive) are 81 and 100 but 81 does not have a factor of 5, and 100 has 9 factors. Thus the problem (as stated) has no solution. The numbers which have a factor of 5 must end in 0 or 5; the only numbers between 80 and 100 (inclusive) which match this criteria are {80, 85, 90, 95, 100}, which have {10, 4, 12, 4, 9} respectively. If you meant 3 PROPER factors (ie all the factors excluding the number itself), then 85 and 95 both have 3 proper factors.
No numbers between 1 and 100 have exactly eleven factors. 60, 72, 84, 90 and 96 each have twelve factors.
1 is the only number between 1 and 100 that has too few factors to be a prime number.
There aren't any numbers between 1 and 100 with 16 factors.
There are five numbers in that range with 12 factors, but none with exactly eleven.
1
In that range, only 100 has exactly 9 factors.
36 has nine factors.