Factors of 9828
The factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9828 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9828 ≈ 99.14; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 31360. Without 9828 itself that is 21532, so 9828 is an abundant number.
LaTeX source of the formulas on this page
\[ 9828 = 2^{2} \times 3^{3} \times 7 \times 13 \]Factor pairs of 9828
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9828 | 1 × 9828 = 9828 |
| 2 | 4914 | 2 × 4914 = 9828 |
| 3 | 3276 | 3 × 3276 = 9828 |
| 4 | 2457 | 4 × 2457 = 9828 |
| 6 | 1638 | 6 × 1638 = 9828 |
| 7 | 1404 | 7 × 1404 = 9828 |
| 9 | 1092 | 9 × 1092 = 9828 |
| 12 | 819 | 12 × 819 = 9828 |
| 13 | 756 | 13 × 756 = 9828 |
| 14 | 702 | 14 × 702 = 9828 |
| 18 | 546 | 18 × 546 = 9828 |
| 21 | 468 | 21 × 468 = 9828 |
| 26 | 378 | 26 × 378 = 9828 |
| 27 | 364 | 27 × 364 = 9828 |
| 28 | 351 | 28 × 351 = 9828 |
| 36 | 273 | 36 × 273 = 9828 |
| 39 | 252 | 39 × 252 = 9828 |
| 42 | 234 | 42 × 234 = 9828 |
| 52 | 189 | 52 × 189 = 9828 |
| 54 | 182 | 54 × 182 = 9828 |
| 63 | 156 | 63 × 156 = 9828 |
| 78 | 126 | 78 × 126 = 9828 |
| 84 | 117 | 84 × 117 = 9828 |
| 91 | 108 | 91 × 108 = 9828 |
Questions
What are the factors of 9828?
The factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828. It has 48 factors.
What are the prime factors of 9828?
2, 3, 7, 13. As a product: × × 7 × 13.
How many factors does 9828 have?
9828 has 48 factors (24 factor pairs).
What is the sum of the factors of 9828?
31360.
Is 9828 a prime number?
No. It is divisible by 2, so 9828 = 2 × 4914.