Factors of 9996
The factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9996 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9996 ≈ 99.98; 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 28728. Without 9996 itself that is 18732, so 9996 is an abundant number.
LaTeX source of the formulas on this page
\[ 9996 = 2^{2} \times 3 \times 7^{2} \times 17 \]Factor pairs of 9996
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9996 | 1 × 9996 = 9996 |
| 2 | 4998 | 2 × 4998 = 9996 |
| 3 | 3332 | 3 × 3332 = 9996 |
| 4 | 2499 | 4 × 2499 = 9996 |
| 6 | 1666 | 6 × 1666 = 9996 |
| 7 | 1428 | 7 × 1428 = 9996 |
| 12 | 833 | 12 × 833 = 9996 |
| 14 | 714 | 14 × 714 = 9996 |
| 17 | 588 | 17 × 588 = 9996 |
| 21 | 476 | 21 × 476 = 9996 |
| 28 | 357 | 28 × 357 = 9996 |
| 34 | 294 | 34 × 294 = 9996 |
| 42 | 238 | 42 × 238 = 9996 |
| 49 | 204 | 49 × 204 = 9996 |
| 51 | 196 | 51 × 196 = 9996 |
| 68 | 147 | 68 × 147 = 9996 |
| 84 | 119 | 84 × 119 = 9996 |
| 98 | 102 | 98 × 102 = 9996 |
Questions
What are the factors of 9996?
The factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. It has 36 factors.
What are the prime factors of 9996?
2, 3, 7, 17. As a product: × 3 × × 17.
How many factors does 9996 have?
9996 has 36 factors (18 factor pairs).
What is the sum of the factors of 9996?
28728.
Is 9996 a prime number?
No. It is divisible by 2, so 9996 = 2 × 4998.