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Factors of 1 to 50
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Reference chart
Factors of 1 to 50
| Number | Factors | Number | Factors |
|---|---|---|---|
| 1 | 1 | 26 | 1, 2, 13, 26 |
| 2 | 1, 2 | 27 | 1, 3, 9, 27 |
| 3 | 1, 3 | 28 | 1, 2, 4, 7, 14, 28 |
| 4 | 1, 2, 4 | 29 | 1, 29 |
| 5 | 1, 5 | 30 | 1, 2, 3, 5, 6, 10, 15, 30 |
| 6 | 1, 2, 3, 6 | 31 | 1, 31 |
| 7 | 1, 7 | 32 | 1, 2, 4, 8, 16, 32 |
| 8 | 1, 2, 4, 8 | 33 | 1, 3, 11, 33 |
| 9 | 1, 3, 9 | 34 | 1, 2, 17, 34 |
| 10 | 1, 2, 5, 10 | 35 | 1, 5, 7, 35 |
| 11 | 1, 11 | 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 |
| 12 | 1, 2, 3, 4, 6, 12 | 37 | 1, 37 |
| 13 | 1, 13 | 38 | 1, 2, 19, 38 |
| 14 | 1, 2, 7, 14 | 39 | 1, 3, 13, 39 |
| 15 | 1, 3, 5, 15 | 40 | 1, 2, 4, 5, 8, 10, 20, 40 |
| 16 | 1, 2, 4, 8, 16 | 41 | 1, 41 |
| 17 | 1, 17 | 42 | 1, 2, 3, 6, 7, 14, 21, 42 |
| 18 | 1, 2, 3, 6, 9, 18 | 43 | 1, 43 |
| 19 | 1, 19 | 44 | 1, 2, 4, 11, 22, 44 |
| 20 | 1, 2, 4, 5, 10, 20 | 45 | 1, 3, 5, 9, 15, 45 |
| 21 | 1, 3, 7, 21 | 46 | 1, 2, 23, 46 |
| 22 | 1, 2, 11, 22 | 47 | 1, 47 |
| 23 | 1, 23 | 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
| 24 | 1, 2, 3, 4, 6, 8, 12, 24 | 49 | 1, 7, 49 |
| 25 | 1, 5, 25 | 50 | 1, 2, 5, 10, 25, 50 |
What's on this chart
Factoring is the work underneath a surprising amount of later math. Simplifying a fraction, finding a greatest common factor, hunting a least common multiple — each one begins by asking what divides a number evenly, and a child without this chart answers that by trying every number in turn. The chart turns a two-minute hunt into a glance, which is the difference between finishing the page and giving up on it.
Why this chart helps
The primes are marked, but nothing on this chart tests for primality. A prime is simply a row with exactly two factors, one and itself, and that is the definition rather than a rule laid on top of it. A child who reads down the marked rows is watching the definition happen, which lands better than being told which squares to shade.
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