What is the prime factorition of numbers 1 to 180?

Answer 1

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, 139, 149, 151, 157, 163, 167, 173, 179. 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

5 x 29 = 145

2 x 73 = 146

3 x 7 x 7 = 147

2 x 2 x 37 = 148

2 x 3 x 5 x 5 = 150

2 x 2 x 2 x 19 = 152

3 x 3 x 17 = 153

2 x 7 x 11 = 154

5 x 31 = 155

2 x 2 x 3 x 13 = 156

2 x 79 = 158

3 x 53 = 159

2 x 2 x 2 x 2 x 2 x 5 = 160

7 x 23 = 161

2 x 3 x 3 x 3 x 3 = 162

2 x 2 x 41 = 164

3 x 5 x 11 = 165

2 x 83 = 166

2 x 2 x 2 x 3 x 7 = 168

13 x 13 = 169

2 x 5 x 17 = 170

3 x 3 x 19 = 171

2 x 2 x 43 = 172

2 x 3 x 29 = 174

5 x 5 x 7 = 175

2 x 2 x 2 x 2 x 11 = 176

3 x 59 = 177

2 x 89 = 178

2 x 2 x 3 x 3 x 5 = 180