Factors of 2109
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2109 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2109 ≈ 45.92; 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 + 19 + 37 + 57 + 111 + 703 + 2109 = 3040. Without 2109 itself that is 931, so 2109 is a deficient number.
LaTeX source of the formulas on this page
\[ 2109 = 3 \times 19 \times 37 \]
Factor pairs of 2109
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2109 | 1 × 2109 = 2109 |
| 3 | 703 | 3 × 703 = 2109 |
| 19 | 111 | 19 × 111 = 2109 |
| 37 | 57 | 37 × 57 = 2109 |
Questions
What are the factors of 2109?
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109. It has 8 factors.
What are the prime factors of 2109?
3, 19, 37. As a product: 3 × 19 × 37.
How many factors does 2109 have?
2109 has 8 factors (4 factor pairs).
What is the sum of the factors of 2109?
3040.
Is 2109 a prime number?
No. It is divisible by 3, so 2109 = 3 × 703.