Factors of 9864
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9864 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9864 ≈ 99.32; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 26910. Without 9864 itself that is 17046, so 9864 is an abundant number.
LaTeX source of the formulas on this page
\[ 9864 = 2^{3} \times 3^{2} \times 137 \]Factor pairs of 9864
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9864 | 1 × 9864 = 9864 |
| 2 | 4932 | 2 × 4932 = 9864 |
| 3 | 3288 | 3 × 3288 = 9864 |
| 4 | 2466 | 4 × 2466 = 9864 |
| 6 | 1644 | 6 × 1644 = 9864 |
| 8 | 1233 | 8 × 1233 = 9864 |
| 9 | 1096 | 9 × 1096 = 9864 |
| 12 | 822 | 12 × 822 = 9864 |
| 18 | 548 | 18 × 548 = 9864 |
| 24 | 411 | 24 × 411 = 9864 |
| 36 | 274 | 36 × 274 = 9864 |
| 72 | 137 | 72 × 137 = 9864 |
Questions
What are the factors of 9864?
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864. It has 24 factors.
What are the prime factors of 9864?
2, 3, 137. As a product: × × 137.
How many factors does 9864 have?
9864 has 24 factors (12 factor pairs).
What is the sum of the factors of 9864?
26910.
Is 9864 a prime number?
No. It is divisible by 2, so 9864 = 2 × 4932.