Factors of 9768
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9768 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9768 ≈ 98.83; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 27360. Without 9768 itself that is 17592, so 9768 is an abundant number.
LaTeX source of the formulas on this page
\[ 9768 = 2^{3} \times 3 \times 11 \times 37 \]Factor pairs of 9768
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9768 | 1 × 9768 = 9768 |
| 2 | 4884 | 2 × 4884 = 9768 |
| 3 | 3256 | 3 × 3256 = 9768 |
| 4 | 2442 | 4 × 2442 = 9768 |
| 6 | 1628 | 6 × 1628 = 9768 |
| 8 | 1221 | 8 × 1221 = 9768 |
| 11 | 888 | 11 × 888 = 9768 |
| 12 | 814 | 12 × 814 = 9768 |
| 22 | 444 | 22 × 444 = 9768 |
| 24 | 407 | 24 × 407 = 9768 |
| 33 | 296 | 33 × 296 = 9768 |
| 37 | 264 | 37 × 264 = 9768 |
| 44 | 222 | 44 × 222 = 9768 |
| 66 | 148 | 66 × 148 = 9768 |
| 74 | 132 | 74 × 132 = 9768 |
| 88 | 111 | 88 × 111 = 9768 |
Questions
What are the factors of 9768?
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768. It has 32 factors.
What are the prime factors of 9768?
2, 3, 11, 37. As a product: × 3 × 11 × 37.
How many factors does 9768 have?
9768 has 32 factors (16 factor pairs).
What is the sum of the factors of 9768?
27360.
Is 9768 a prime number?
No. It is divisible by 2, so 9768 = 2 × 4884.