Factors of 1309
The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1309 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1309 ≈ 36.18; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 7 + 11 + 17 + 77 + 119 + 187 + 1309 = 1728. Without 1309 itself that is 419, so 1309 is a deficient number.
LaTeX source of the formulas on this page
\[ 1309 = 7 \times 11 \times 17 \]
Factor pairs of 1309
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1309 | 1 × 1309 = 1309 |
| 7 | 187 | 7 × 187 = 1309 |
| 11 | 119 | 11 × 119 = 1309 |
| 17 | 77 | 17 × 77 = 1309 |
Questions
What are the factors of 1309?
The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309. It has 8 factors.
What are the prime factors of 1309?
7, 11, 17. As a product: 7 × 11 × 17.
How many factors does 1309 have?
1309 has 8 factors (4 factor pairs).
What is the sum of the factors of 1309?
1728.
Is 1309 a prime number?
No. It is divisible by 7, so 1309 = 7 × 187.