Factors of 9984
The factors of 9984 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9984 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9984 ≈ 99.92; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 28616. Without 9984 itself that is 18632, so 9984 is an abundant number.
LaTeX source of the formulas on this page
\[ 9984 = 2^{8} \times 3 \times 13 \]Factor pairs of 9984
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9984 | 1 × 9984 = 9984 |
| 2 | 4992 | 2 × 4992 = 9984 |
| 3 | 3328 | 3 × 3328 = 9984 |
| 4 | 2496 | 4 × 2496 = 9984 |
| 6 | 1664 | 6 × 1664 = 9984 |
| 8 | 1248 | 8 × 1248 = 9984 |
| 12 | 832 | 12 × 832 = 9984 |
| 13 | 768 | 13 × 768 = 9984 |
| 16 | 624 | 16 × 624 = 9984 |
| 24 | 416 | 24 × 416 = 9984 |
| 26 | 384 | 26 × 384 = 9984 |
| 32 | 312 | 32 × 312 = 9984 |
| 39 | 256 | 39 × 256 = 9984 |
| 48 | 208 | 48 × 208 = 9984 |
| 52 | 192 | 52 × 192 = 9984 |
| 64 | 156 | 64 × 156 = 9984 |
| 78 | 128 | 78 × 128 = 9984 |
| 96 | 104 | 96 × 104 = 9984 |
Questions
What are the factors of 9984?
The factors of 9984 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984. It has 36 factors.
What are the prime factors of 9984?
2, 3, 13. As a product: × 3 × 13.
How many factors does 9984 have?
9984 has 36 factors (18 factor pairs).
What is the sum of the factors of 9984?
28616.
Is 9984 a prime number?
No. It is divisible by 2, so 9984 = 2 × 4992.