Factors of 1209
The factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1209 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1209 ≈ 34.77; 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 + 3 + 13 + 31 + 39 + 93 + 403 + 1209 = 1792. Without 1209 itself that is 583, so 1209 is a deficient number.
LaTeX source of the formulas on this page
\[ 1209 = 3 \times 13 \times 31 \]
Factor pairs of 1209
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1209 | 1 × 1209 = 1209 |
| 3 | 403 | 3 × 403 = 1209 |
| 13 | 93 | 13 × 93 = 1209 |
| 31 | 39 | 31 × 39 = 1209 |
Questions
What are the factors of 1209?
The factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209. It has 8 factors.
What are the prime factors of 1209?
3, 13, 31. As a product: 3 × 13 × 31.
How many factors does 1209 have?
1209 has 8 factors (4 factor pairs).
What is the sum of the factors of 1209?
1792.
Is 1209 a prime number?
No. It is divisible by 3, so 1209 = 3 × 403.