Factors of 9724
The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9724 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9724 ≈ 98.61; 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 21168. Without 9724 itself that is 11444, so 9724 is an abundant number.
LaTeX source of the formulas on this page
\[ 9724 = 2^{2} \times 11 \times 13 \times 17 \]Factor pairs of 9724
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9724 | 1 × 9724 = 9724 |
| 2 | 4862 | 2 × 4862 = 9724 |
| 4 | 2431 | 4 × 2431 = 9724 |
| 11 | 884 | 11 × 884 = 9724 |
| 13 | 748 | 13 × 748 = 9724 |
| 17 | 572 | 17 × 572 = 9724 |
| 22 | 442 | 22 × 442 = 9724 |
| 26 | 374 | 26 × 374 = 9724 |
| 34 | 286 | 34 × 286 = 9724 |
| 44 | 221 | 44 × 221 = 9724 |
| 52 | 187 | 52 × 187 = 9724 |
| 68 | 143 | 68 × 143 = 9724 |
Questions
What are the factors of 9724?
The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724. It has 24 factors.
What are the prime factors of 9724?
2, 11, 13, 17. As a product: × 11 × 13 × 17.
How many factors does 9724 have?
9724 has 24 factors (12 factor pairs).
What is the sum of the factors of 9724?
21168.
Is 9724 a prime number?
No. It is divisible by 2, so 9724 = 2 × 4862.