Prime numbers don't need factorizations. That eliminates 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137 and 139. The rest are:
2 x 2 = 4
2 x 3 = 6
2 x 2 x 2 = 8
3 x 3 = 9
2 x 5 = 10
2 x 2 x 3 = 12
2 x 7 = 14
3 x 5 = 15
2 x 2 x 2 x 2 = 16
2 x 3 x 3 = 18
2 x 2 x 5 = 20
3 x 7 = 21
2 x 11 = 22
2 x 2 x 2 x 3 = 24
5 x 5 = 25
2 x 13 = 26
3 x 3 x 3 = 27
2 x 2 x 7 = 28
2 x 3 x 5 = 30
2 x 2 x 2 x 2 x 2 = 32
3 x 11 = 33
2 x 17 = 34
5 x 7 = 35
2 x 2 x 3 x 3 = 36
2 x 19 = 38
3 x 13 = 39
2 x 2 x 2 x 5 = 40
2 x 3 x 7 = 42
2 x 2 x 11 = 44
3 x 3 x 5 = 45
2 x 23 = 46
2 x 2 x 2 x 2 x 3 = 48
7 x 7 = 49
2 x 5 x 5 = 50
3 x 17 = 51
2 x 2 x 13 = 52
2 x 3 x 3 x 3 = 54
5 x 11 = 55
2 x 2 x 2 x 7 = 56
3 x 19 = 57
2 x 29 = 58
2 x 2 x 3 x 5 = 60
2 x 31 = 62
3 x 3 x 7 = 63
2 x 2 x 2 x 2 x 2 x 2 = 64
5 x 13 = 65
2 x 3 x 11 = 66
2 x 2 x 17 = 68
3 x 23 = 69
2 x 5 x 7 = 70
2 x 2 x 2 x 3 x 3 = 72
2 x 37 = 74
3 x 5 x 5 = 75
2 x 2 x 19 = 76
7 x 11 = 77
2 x 3 x 13 = 78
2 x 2 x 2 x 2 x 5 = 80
3 x 3 x 3 x 3 = 81
2 x 41 = 82
2 x 2 x 3 x 7 = 84
5 x 17 = 85
2 x 43 = 86
3 x 29 = 87
2 x 2 x 2 x 11 = 88
2 x 3 x 3 x 5 = 90
7 x 13 = 91
2 x 2 x 23 = 92
3 x 31 = 93
2 x 47 = 94
5 x 19 = 95
2 x 2 x 2 x 2 x 2 x 3 = 96
2 x 7 x 7 = 98
3 x 3 x 11 = 99
2 x 2 x 5 x 5 = 100
2 x 3 x 17 = 102
2 x 2 x 2 x 13 = 104
3 x 5 x 7 = 105
2 x 53 = 106
2 x 2 x 3 x 3 x 3 = 108
2 x 5 x 11 = 110
2 x 2 x 2 x 2 x 7 = 112
2 x 3 x 19 = 114
5 x 23 = 115
2 x 2 x 29 = 116
3 x 3 x 13 = 117
2 x 59 = 118
7 x 17 = 119
2 x 2 x 2 x 3 x 5 = 120
11 x 11 = 121
2 x 61 = 122
3 x 41 = 123
2 x 2 x 31 = 124
5 x 5 x 5 = 125
2 x 3 x 3 x 7 = 126
2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
3 x 43 = 129
2 x 5 x 13 = 130
2 x 2 x 3 x 11 = 132
7 x 19 = 133
2 x 67 = 134
3 x 3 x 3 x 5 = 135
2 x 2 x 2 x 17 = 136
2 x 3 x 23 = 138
2 x 2 x 5 x 7 = 140
3 x 47 = 141
2 x 71 = 142
11 x 13 = 143
2 x 2 x 2 x 2 x 3 x 3 = 144
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144 = 24 32
144 72,2 36,2,2 18,2,2,2 9,2,2,2,2 3,3,2,2,2,2
24 x 32
144 72,2 36,2,2 18,2,2,2 9,2,2,2,2 3,3,2,2,2,2
It is: 2*2*2*2*3*3 = 144 or in exponents 24*32 = 144