Factoring Integers
rename
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 |
