Factors of 9840
The factors of 9840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9840 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9840 ≈ 99.20; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 31248. Without 9840 itself that is 21408, so 9840 is an abundant number.
LaTeX source of the formulas on this page
\[ 9840 = 2^{4} \times 3 \times 5 \times 41 \]Factor pairs of 9840
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9840 | 1 × 9840 = 9840 |
| 2 | 4920 | 2 × 4920 = 9840 |
| 3 | 3280 | 3 × 3280 = 9840 |
| 4 | 2460 | 4 × 2460 = 9840 |
| 5 | 1968 | 5 × 1968 = 9840 |
| 6 | 1640 | 6 × 1640 = 9840 |
| 8 | 1230 | 8 × 1230 = 9840 |
| 10 | 984 | 10 × 984 = 9840 |
| 12 | 820 | 12 × 820 = 9840 |
| 15 | 656 | 15 × 656 = 9840 |
| 16 | 615 | 16 × 615 = 9840 |
| 20 | 492 | 20 × 492 = 9840 |
| 24 | 410 | 24 × 410 = 9840 |
| 30 | 328 | 30 × 328 = 9840 |
| 40 | 246 | 40 × 246 = 9840 |
| 41 | 240 | 41 × 240 = 9840 |
| 48 | 205 | 48 × 205 = 9840 |
| 60 | 164 | 60 × 164 = 9840 |
| 80 | 123 | 80 × 123 = 9840 |
| 82 | 120 | 82 × 120 = 9840 |
Questions
What are the factors of 9840?
The factors of 9840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840. It has 40 factors.
What are the prime factors of 9840?
2, 3, 5, 41. As a product: × 3 × 5 × 41.
How many factors does 9840 have?
9840 has 40 factors (20 factor pairs).
What is the sum of the factors of 9840?
31248.
Is 9840 a prime number?
No. It is divisible by 2, so 9840 = 2 × 4920.