Factors of 765
The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 765 is a whole number that divides it with nothing left over. You only need to test the numbers up to √765 ≈ 27.66; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 5 + 9 + 15 + 17 + 45 + 51 + 85 + 153 + 255 + 765 = 1404. Without 765 itself that is 639, so 765 is a deficient number.
LaTeX source of the formulas on this page
\[ 765 = 3^{2} \times 5 \times 17 \]Factor pairs of 765
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 765 | 1 × 765 = 765 |
| 3 | 255 | 3 × 255 = 765 |
| 5 | 153 | 5 × 153 = 765 |
| 9 | 85 | 9 × 85 = 765 |
| 15 | 51 | 15 × 51 = 765 |
| 17 | 45 | 17 × 45 = 765 |
Questions
What are the factors of 765?
The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765. It has 12 factors.
What are the prime factors of 765?
3, 5, 17. As a product: × 5 × 17.
How many factors does 765 have?
765 has 12 factors (6 factor pairs).
What is the sum of the factors of 765?
1404.
Is 765 a prime number?
No. It is divisible by 3, so 765 = 3 × 255.