Factoring Integers

Updated
2009-01-22 11:46
Factorizations of Integers into Prime Numbers
Prime Numbers cannot be factored.Number | Factorization |
---|---|
1 | prime |
2 | prime |
3 | prime |
4 | 2 x 2 = 22 |
5 | prime |
6 | 2 x 3 |
7 | prime |
8 | 2 x 2 x 2 = 23 |
9 | 3 x 3 = 32 |
10 | 2 x 5 |
11 | prime |
12 | 2 x 2 x 3 = 22 x 3 |
13 | prime |
14 | 2 x 7 |
15 | 3 x 5 |
16 | 2 x 2 x 2 x 2 = 24 |
17 | prime |
18 | 2 x 3 x 3 = 2 x 32 |
19 | prime |
20 | 2 x 2 x 5 = 22 x 5 |
Number | Factorization |
---|---|
Ends in 0 | Contains 2 x 5 |
Ends in 5 | Contains 5 |
It is even | Contains 2 |
Its last 2 digits are divisible by 4 | Contains 2 x 2 = 22 |
Its last 3 digits are divisible by 8 | Contains 2 x 2 x 2 = 23 |
Its digits sum to a number divisible by 3 | Contains 3 |
Its digits sum to a number divisible by 9 | Contains 3 x 3 = 32 |
Number | Factorization |
---|---|
21 | 3 x 7 |
22 | 2 x 11 |
23 | prime |
24 | 2 x 2 x 2 x 3 = 23 x 3 |
25 | 5 x 5 = 52 |
26 | 2 x 13 |
27 | 3 x 3 x 3 = 33 |
28 | 2 x 2 x 7 = 22 x 7 |
29 | prime |
30 | 2 x 3 x 5 |
31 | prime |
32 | 2 x 2 x 2 x 2 x 2 = 25 |
33 | 3 x 11 |
34 | 2 x 17 |
35 | 5 x 7 |
36 | 2 x 2 x 3 x 3 = 22 x 32 |
37 | prime |
38 | 2 x 19 |
39 | 3 x 13 |
40 | 2 x 2 x 2 x 5 = 23 x 5 |
Number | Factorization |
---|---|
41 | prime |
42 | 2 x 3 x 7 |
43 | prime |
44 | 2 x 2 x 11 = 22 x 11 |
45 | 3 x 3 x 5 = 32 x 5 |
46 | 2 x 23 |
47 | prime |
48 | 2 x 2 x 2 x 2 x 3 = 24 x 3 |
49 | 7 x 7 = 72 |
50 | 2 x 5 x 5 = 2 x 52 |
51 | 3 x 17 |
52 | 2 x 2 x 13 = 22 x 13 |
53 | prime |
54 | 2 x 3 x 3 x 3 = 2 x 33 |
55 | 5 x 11 |
56 | 2 x 2 x 2 x 7 = 23 x 7 |
57 | 3 x 19 |
58 | 2 x 29 |
59 | prime |
60 | 2 x 2 x 3 x 5 = 22 x 3 x 5 |
Number | Factorization |
---|---|
61 | prime |
62 | 2 x 31 |
63 | 3 x 3 x 7 = 32 x 7 |
64 | 2 x 2 x 2 x 2 x 2 x 2 = 26 |
65 | 5 x 13 |
66 | 2 x 3 x 11 |
67 | prime |
68 | 2 x 2 x 17 = 22 x 17 |
69 | 3 x 23 |
70 | 2 x 5 x 7 |
71 | prime |
72 | 2 x 2 x 2 x 3 x 3 = 23 x 32 |
73 | prime |
74 | 2 x 37 |
75 | 3 x 5 x 5 = 3 x 52 |
76 | 2 x 2 x 19 = 22 x 19 |
77 | 7 x 11 |
78 | 2 x 3 x 13 |
79 | prime |
80 | 2 x 2 x 2 x 2 x 5 = 24 x 5 |
Number | Factorization |
---|---|
81 | 3 x 3 x 3 x 3 = 34 |
82 | 2 x 41 |
83 | prime |
84 | 2 x 2 x 3 x 7 = 22 x 3 x 7 |
85 | 5 x 17 |
86 | 2 x 43 |
87 | 3 x 29 |
88 | 2 x 2 x 2 x 11 = 23 x 11 |
89 | prime |
90 | 2 x 3 x 3 x 5 = 2 x 32 x 5 |
91 | 7 x 13 |
92 | 2 x 2 x 23 = 22 x 23 |
93 | 3 x 31 |
94 | 2 x 47 |
95 | 5 x 19 |
96 | 2 x 2 x 2 x 2 x 2 x 3 = 25 x 3 |
97 | prime |
98 | 2 x 7 x 7 = 2 x 72 |
99 | 3 x 3 x 11 = 32 x 11 |
100 | 2 x 2 x 5 x 5 = 22 x 52 |