Is 2709 a prime number?
No, 2709 is not a prime number. It is divisible by 3: 2709 = 3 × 903.
Is 2709 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 √2709 ≈ 52.05. If none of them divides 2709, it is prime.
- 3
3 divides 2709 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2709 = 3^{2} \times 7 \times 43 \]Testing 2709 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2709 ÷ 2 | leaves 1 |
| 3 | 2709 ÷ 3 | divides exactly (903) |
| 5 | 2709 ÷ 5 | leaves 4 |
| 7 | 2709 ÷ 7 | divides exactly (387) |
| 11 | 2709 ÷ 11 | leaves 3 |
| 13 | 2709 ÷ 13 | leaves 5 |
| 17 | 2709 ÷ 17 | leaves 6 |
| 19 | 2709 ÷ 19 | leaves 11 |
| 23 | 2709 ÷ 23 | leaves 18 |
| 29 | 2709 ÷ 29 | leaves 12 |
| 31 | 2709 ÷ 31 | leaves 12 |
| 37 | 2709 ÷ 37 | leaves 8 |
Questions
Is 2709 a prime number?
No, 2709 is not a prime number. It is divisible by 3: 2709 = 3 × 903.
What is the next prime after 2709?
2711.
What is the prime number before 2709?
2707.
What are the factors of 2709?
1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709.