This problem is simply asking how many numbers from 2 - 100 have 1 or more square factors. We first list out the multiples of the square factors and then eliminate common multiples.
4 9 We don't need to do 16. 25 We don't need to do 36. 49
8 18 50 98
12 27 75
16
20 45
24 54
28 63
32
36 81
40 90
44 99
48
52
56
60
64
68
72
76
80
84
88
92
96
100
25+9+3+2 = 39 integers that can be simplified.