Is 2109 a prime number?
No, 2109 is not a prime number. It is divisible by 3: 2109 = 3 × 703.
Is 2109 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √2109 ≈ 45.92. If none of them divides 2109, it is prime.
- 3
3 divides 2109 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2109 = 3 \times 19 \times 37 \]
Testing 2109 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2109 ÷ 2 | leaves 1 |
| 3 | 2109 ÷ 3 | divides exactly (703) |
| 5 | 2109 ÷ 5 | leaves 4 |
| 7 | 2109 ÷ 7 | leaves 2 |
| 11 | 2109 ÷ 11 | leaves 8 |
| 13 | 2109 ÷ 13 | leaves 3 |
| 17 | 2109 ÷ 17 | leaves 1 |
| 19 | 2109 ÷ 19 | divides exactly (111) |
| 23 | 2109 ÷ 23 | leaves 16 |
| 29 | 2109 ÷ 29 | leaves 21 |
| 31 | 2109 ÷ 31 | leaves 1 |
| 37 | 2109 ÷ 37 | divides exactly (57) |
Questions
Is 2109 a prime number?
No, 2109 is not a prime number. It is divisible by 3: 2109 = 3 × 703.
What is the next prime after 2109?
2111.
What is the prime number before 2109?
2099.
What are the factors of 2109?
1, 3, 19, 37, 57, 111, 703, 2109.