Factors of 9765
The factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9765 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9765 ≈ 98.82; 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 19968. Without 9765 itself that is 10203, so 9765 is an abundant number.
LaTeX source of the formulas on this page
\[ 9765 = 3^{2} \times 5 \times 7 \times 31 \]Factor pairs of 9765
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9765 | 1 × 9765 = 9765 |
| 3 | 3255 | 3 × 3255 = 9765 |
| 5 | 1953 | 5 × 1953 = 9765 |
| 7 | 1395 | 7 × 1395 = 9765 |
| 9 | 1085 | 9 × 1085 = 9765 |
| 15 | 651 | 15 × 651 = 9765 |
| 21 | 465 | 21 × 465 = 9765 |
| 31 | 315 | 31 × 315 = 9765 |
| 35 | 279 | 35 × 279 = 9765 |
| 45 | 217 | 45 × 217 = 9765 |
| 63 | 155 | 63 × 155 = 9765 |
| 93 | 105 | 93 × 105 = 9765 |
Questions
What are the factors of 9765?
The factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765. It has 24 factors.
What are the prime factors of 9765?
3, 5, 7, 31. As a product: × 5 × 7 × 31.
How many factors does 9765 have?
9765 has 24 factors (12 factor pairs).
What is the sum of the factors of 9765?
19968.
Is 9765 a prime number?
No. It is divisible by 3, so 9765 = 3 × 3255.