Factors of 9744
The factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9744 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9744 ≈ 98.71; 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 29760. Without 9744 itself that is 20016, so 9744 is an abundant number.
LaTeX source of the formulas on this page
\[ 9744 = 2^{4} \times 3 \times 7 \times 29 \]Factor pairs of 9744
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9744 | 1 × 9744 = 9744 |
| 2 | 4872 | 2 × 4872 = 9744 |
| 3 | 3248 | 3 × 3248 = 9744 |
| 4 | 2436 | 4 × 2436 = 9744 |
| 6 | 1624 | 6 × 1624 = 9744 |
| 7 | 1392 | 7 × 1392 = 9744 |
| 8 | 1218 | 8 × 1218 = 9744 |
| 12 | 812 | 12 × 812 = 9744 |
| 14 | 696 | 14 × 696 = 9744 |
| 16 | 609 | 16 × 609 = 9744 |
| 21 | 464 | 21 × 464 = 9744 |
| 24 | 406 | 24 × 406 = 9744 |
| 28 | 348 | 28 × 348 = 9744 |
| 29 | 336 | 29 × 336 = 9744 |
| 42 | 232 | 42 × 232 = 9744 |
| 48 | 203 | 48 × 203 = 9744 |
| 56 | 174 | 56 × 174 = 9744 |
| 58 | 168 | 58 × 168 = 9744 |
| 84 | 116 | 84 × 116 = 9744 |
| 87 | 112 | 87 × 112 = 9744 |
Questions
What are the factors of 9744?
The factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744. It has 40 factors.
What are the prime factors of 9744?
2, 3, 7, 29. As a product: × 3 × 7 × 29.
How many factors does 9744 have?
9744 has 40 factors (20 factor pairs).
What is the sum of the factors of 9744?
29760.
Is 9744 a prime number?
No. It is divisible by 2, so 9744 = 2 × 4872.