Is 3509 a prime number?
No, 3509 is not a prime number. It is divisible by 11: 3509 = 11 × 319.
Is 3509 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 √3509 ≈ 59.24. If none of them divides 3509, it is prime.
- 3
11 divides 3509 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3509 = 11^{2} \times 29 \]Testing 3509 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3509 ÷ 2 | leaves 1 |
| 3 | 3509 ÷ 3 | leaves 2 |
| 5 | 3509 ÷ 5 | leaves 4 |
| 7 | 3509 ÷ 7 | leaves 2 |
| 11 | 3509 ÷ 11 | divides exactly (319) |
| 13 | 3509 ÷ 13 | leaves 12 |
| 17 | 3509 ÷ 17 | leaves 7 |
| 19 | 3509 ÷ 19 | leaves 13 |
| 23 | 3509 ÷ 23 | leaves 13 |
| 29 | 3509 ÷ 29 | divides exactly (121) |
| 31 | 3509 ÷ 31 | leaves 6 |
| 37 | 3509 ÷ 37 | leaves 31 |
Questions
Is 3509 a prime number?
No, 3509 is not a prime number. It is divisible by 11: 3509 = 11 × 319.
What is the next prime after 3509?
3511.
What is the prime number before 3509?
3499.
What are the factors of 3509?
1, 11, 29, 121, 319, 3509.