Is 1309 a prime number?
No, 1309 is not a prime number. It is divisible by 7: 1309 = 7 × 187.
Is 1309 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 √1309 ≈ 36.18. If none of them divides 1309, it is prime.
- 3
7 divides 1309 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1309 = 7 \times 11 \times 17 \]
Testing 1309 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1309 ÷ 2 | leaves 1 |
| 3 | 1309 ÷ 3 | leaves 1 |
| 5 | 1309 ÷ 5 | leaves 4 |
| 7 | 1309 ÷ 7 | divides exactly (187) |
| 11 | 1309 ÷ 11 | divides exactly (119) |
| 13 | 1309 ÷ 13 | leaves 9 |
| 17 | 1309 ÷ 17 | divides exactly (77) |
| 19 | 1309 ÷ 19 | leaves 17 |
| 23 | 1309 ÷ 23 | leaves 21 |
| 29 | 1309 ÷ 29 | leaves 4 |
| 31 | 1309 ÷ 31 | leaves 7 |
Questions
Is 1309 a prime number?
No, 1309 is not a prime number. It is divisible by 7: 1309 = 7 × 187.
What is the next prime after 1309?
1319.
What is the prime number before 1309?
1307.
What are the factors of 1309?
1, 7, 11, 17, 77, 119, 187, 1309.