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
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
Since 72 is a factor of 144, its entire prime factorization will be contained in the prime factorization of 144.
Since 72 is a factor of 144, its whole prime factorization will be contained in the prime factorization of 144.
2x2x2x2x3x3
144 = 24 32
The prime factors of 144 are: 2,3
24*32 = 144
144 = 24 x 32
24 x 32 = 144
24 x 32 = 144
144 72,2 36,2,2 18,2,2,2 9,2,2,2,2 3,3,2,2,2,2
144
It is: 144