Is 3409 a prime number?
No, 3409 is not a prime number. It is divisible by 7: 3409 = 7 × 487.
Is 3409 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 √3409 ≈ 58.39. If none of them divides 3409, it is prime.
- 3
7 divides 3409 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3409 = 7 \times 487 \]
Testing 3409 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3409 ÷ 2 | leaves 1 |
| 3 | 3409 ÷ 3 | leaves 1 |
| 5 | 3409 ÷ 5 | leaves 4 |
| 7 | 3409 ÷ 7 | divides exactly (487) |
| 11 | 3409 ÷ 11 | leaves 10 |
| 13 | 3409 ÷ 13 | leaves 3 |
| 17 | 3409 ÷ 17 | leaves 9 |
| 19 | 3409 ÷ 19 | leaves 8 |
| 23 | 3409 ÷ 23 | leaves 5 |
| 29 | 3409 ÷ 29 | leaves 16 |
| 31 | 3409 ÷ 31 | leaves 30 |
| 37 | 3409 ÷ 37 | leaves 5 |
Questions
Is 3409 a prime number?
No, 3409 is not a prime number. It is divisible by 7: 3409 = 7 × 487.
What is the next prime after 3409?
3413.
What is the prime number before 3409?
3407.
What are the factors of 3409?
1, 7, 487, 3409.