Let’s find factors of all numbers from 1 to 100 and check whether they are prime or not.
Number | Factors | Prime or Composite |
1 | 1 | Neither prime nor composite |
2 | 1, 2 | Prime |
3 | 1, 3 | Prime |
4 | 1, 2, 4 | Composite |
5 | 1, 5 | Prime |
6 | 1, 2, 3, 6 | Composite |
7 | 1, 7 | Prime |
8 | 1, 2, 4, 8 | Composite |
9 | 1, 3, 9 | Composite |
10 | 1, 2, 5, 10 | Composite |
11 | 1, 11 | Prime |
12 | 1, 2, 3, 4, 6, 12 | Composite |
13 | 1, 13 | Prime |
14 | 1, 2, 7, 14 | Composite |
15 | 1, 3, 5, 15 | Composite |
16 | 1, 2, 4, 8, 16 | Composite |
17 | 1, 17 | Prime |
18 | 1, 2, 3, 6, 9, 18 | Composite |
19 | 1, 19 | Prime |
20 | 1, 2, 4, 5, 10, 20 | Composite |
21 | 1, 3, 7, 21 | Composite |
22 | 1, 2, 11, 22 | Composite |
23 | 1, 23 | Prime |
24 | 1, 2, 3, 4, 6, 8, 12, 24 | Composite |
25 | 1, 5, 25 | Composite |
26 | 1, 2, 13, 26 | Composite |
27 | 1, 3, 9, 27 | Composite |
28 | 1, 2, 4, 7, 14, 28 | Composite |
29 | 1, 29 | Prime |
30 | 1, 2, 3, 5, 6, 10, 15, 30 | Composite |
31 | 1, 31 | Prime |
32 | 1, 2, 4, 8, 16, 32 | Composite |
33 | 1, 3, 11, 33 | Composite |
34 | 1, 2, 17, 34 | Composite |
35 | 1, 5, 7, 35 | Composite |
36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 | Composite |
37 | 1, 37 | Prime |
38 | 1, 2, 19, 38 | Composite |
39 | 1, 3, 13, 39 | Composite |
40 | 1, 2, 4, 5, 8, 10, 20, 40 | Composite |
41 | 1, 41 | Prime |
42 | 1, 2, 3, 6, 7, 14, 21, 42 | Composite |
43 | 1, 43 | Prime |
44 | 1, 2, 4, 11, 22, 44 | Composite |
45 | 1, 3, 5, 9, 15, 45 | Composite |
46 | 1, 2, 23, 46 | Composite |
47 | 1, 47 | Prime |
48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | Composite |
49 | 1, 7, 49 | Composite |
50 | 1, 2, 5, 10, 25, 50 | Composite |
51 | 1, 3, 17, 51 | Composite |
52 | 1, 2, 4, 13, 26, 52 | Composite |
53 | 1, 53 | Prime |
54 | 1, 2, 3, 6, 9, 18, 27, 54 | Composite |
55 | 1, 5, 11, 55 | Composite |
56 | 1, 2, 4, 7, 8, 14, 28, 56 | Composite |
57 | 1, 3, 19, 57 | Composite |
58 | 1, 2, 29, 58 | Composite |
59 | 1, 59 | Prime |
60 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 | Composite |
61 | 1, 61 | Prime |
62 | 1, 2, 31, 62 | Composite |
63 | 1, 3, 7, 9, 21, 63 | Composite |
64 | 1, 2, 4, 8, 16, 32, 64 | Composite |
65 | 1, 5, 13, 65 | Composite |
66 | 1, 2, 3, 6, 11, 22, 33, 66 | Composite |
67 | 1, 67 | Prime |
68 | 1, 2, 4, 17, 34, 68 | Composite |
69 | 1, 3, 23, 69 | Composite |
70 | 1, 2, 5, 7, 10, 14, 35, 70 | Composite |
71 | 1, 71 | Prime |
72 | 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 | Composite |
73 | 1, 73 | Prime |
74 | 1, 2, 37, 74 | Composite |
75 | 1, 3, 5, 15, 25, 75 | Composite |
76 | 1, 2, 4, 19, 38, 76 | Composite |
77 | 1, 7, 11, 77 | Composite |
78 | 1, 2, 3, 6, 13, 26, 39, 78 | Composite |
79 | 1, 79 | Prime |
80 | 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 | Composite |
81 | 1, 3, 9, 27, 81 | Composite |
82 | 1, 2, 41, 82 | Composite |
83 | 1, 83 | Prime |
84 | 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 | Composite |
85 | 1, 5, 17, 85 | Composite |
86 | 1, 2, 43, 86 | Composite |
87 | 1, 3, 29, 87 | Composite |
88 | 1, 2, 4, 8, 11, 22, 44, 88 | Composite |
89 | 1, 89 | Prime |
90 | 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 | Composite |
91 | 1, 7, 13, 91 | Composite |
92 | 1, 2, 4, 23, 46, 92 | Composite |
93 | 1, 3, 31, 93 | Composite |
94 | 1, 2, 47, 94 | Composite |
95 | 1, 5, 19, 95 | Composite |
96 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 | Composite |
97 | 1, 97 | Prime |
98 | 1, 2, 7, 14, 49, 98 | Composite |
99 | 1, 3, 9, 11, 33, 99 | Composite |
100 | 1, 2, 4, 5, 10, 20, 25, 50, 100 | Composite |
Inorder to find prime numbers from 1 to 100, we do not write factors of all of them.
We use another method - Check how to find Prime numbers from 1 to 100
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