Is 1209 a prime number?
No, 1209 is not a prime number. It is divisible by 3: 1209 = 3 × 403.
Is 1209 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 √1209 ≈ 34.77. If none of them divides 1209, it is prime.
- 3
3 divides 1209 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1209 = 3 \times 13 \times 31 \]
Testing 1209 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1209 ÷ 2 | leaves 1 |
| 3 | 1209 ÷ 3 | divides exactly (403) |
| 5 | 1209 ÷ 5 | leaves 4 |
| 7 | 1209 ÷ 7 | leaves 5 |
| 11 | 1209 ÷ 11 | leaves 10 |
| 13 | 1209 ÷ 13 | divides exactly (93) |
| 17 | 1209 ÷ 17 | leaves 2 |
| 19 | 1209 ÷ 19 | leaves 12 |
| 23 | 1209 ÷ 23 | leaves 13 |
| 29 | 1209 ÷ 29 | leaves 20 |
| 31 | 1209 ÷ 31 | divides exactly (39) |
Questions
Is 1209 a prime number?
No, 1209 is not a prime number. It is divisible by 3: 1209 = 3 × 403.
What is the next prime after 1209?
1213.
What is the prime number before 1209?
1201.
What are the factors of 1209?
1, 3, 13, 31, 39, 93, 403, 1209.