Factors chart
A factor is a whole number that divides another with no remainder: 1, 2, 3, 4, 6 and 12 are the factors of 12. This chart lists all the factors of each number from 1 to 100, smallest first.
Free printable PDF, 4th grade to 6th grade.
One page, black and white, prints the same every time.
What is on the sheet
The table below is the sheet as it prints with these options: 1 to 50.
1 to 25
| No. | Factors |
|---|---|
| 1 | 1 |
| 2 | 1, 2 |
| 3 | 1, 3 |
| 4 | 1, 2, 4 |
| 5 | 1, 5 |
| 6 | 1, 2, 3, 6 |
| 7 | 1, 7 |
| 8 | 1, 2, 4, 8 |
| 9 | 1, 3, 9 |
| 10 | 1, 2, 5, 10 |
| 11 | 1, 11 |
| 12 | 1, 2, 3, 4, 6, 12 |
| 13 | 1, 13 |
| 14 | 1, 2, 7, 14 |
| 15 | 1, 3, 5, 15 |
| 16 | 1, 2, 4, 8, 16 |
| 17 | 1, 17 |
| 18 | 1, 2, 3, 6, 9, 18 |
| 19 | 1, 19 |
| 20 | 1, 2, 4, 5, 10, 20 |
| 21 | 1, 3, 7, 21 |
| 22 | 1, 2, 11, 22 |
| 23 | 1, 23 |
| 24 | 1, 2, 3, 4, 6, 8, 12, 24 |
| 25 | 1, 5, 25 |
26 to 50
| No. | Factors |
|---|---|
| 26 | 1, 2, 13, 26 |
| 27 | 1, 3, 9, 27 |
| 28 | 1, 2, 4, 7, 14, 28 |
| 29 | 1, 29 |
| 30 | 1, 2, 3, 5, 6, 10, 15, 30 |
| 31 | 1, 31 |
| 32 | 1, 2, 4, 8, 16, 32 |
| 33 | 1, 3, 11, 33 |
| 34 | 1, 2, 17, 34 |
| 35 | 1, 5, 7, 35 |
| 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 |
| 37 | 1, 37 |
| 38 | 1, 2, 19, 38 |
| 39 | 1, 3, 13, 39 |
| 40 | 1, 2, 4, 5, 8, 10, 20, 40 |
| 41 | 1, 41 |
| 42 | 1, 2, 3, 6, 7, 14, 21, 42 |
| 43 | 1, 43 |
| 44 | 1, 2, 4, 11, 22, 44 |
| 45 | 1, 3, 5, 9, 15, 45 |
| 46 | 1, 2, 23, 46 |
| 47 | 1, 47 |
| 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
| 49 | 1, 7, 49 |
| 50 | 1, 2, 5, 10, 25, 50 |
Reading the chart
Factors come in pairs that multiply to the number, and the list pairs up from the outside in: for 36 that is 1 and 36, 2 and 18, 3 and 12, 4 and 9, then 6 on its own, since 6 × 6 = 36. A number with an odd count of factors is always a perfect square.
A number with exactly two factors, 1 and itself, is prime. A number with more than two is composite. 1 has only one factor, so it is neither.
Where factors get used
Fourth grade finds all the factor pairs of a number from 1 to 100 and sorts numbers into prime and composite (CCSS 4.OA.B.4). Sixth grade compares two lists to find the greatest common factor (6.NS.B.4), which is also how a fraction gets simplified. Put two rows of the chart side by side and the biggest number in both lists is the GCF.
Common questions
- What is the difference between a factor and a multiple?
- A factor goes into the number and a multiple comes out of it. 4 is a factor of 12, and 12 is a multiple of 4. A number has only a few factors but goes on having multiples forever.
- Which number up to 100 has the most factors?
- Five numbers tie with 12 factors each: 60, 72, 84, 90 and 96. 60 is the smallest, and it splits evenly into halves, thirds, quarters, fifths and sixths.