Is 4009 a prime number?
No, 4009 is not a prime number. It is divisible by 19: 4009 = 19 × 211.
Is 4009 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 √4009 ≈ 63.32. If none of them divides 4009, it is prime.
- 3
19 divides 4009 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4009 = 19 \times 211 \]
Testing 4009 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4009 ÷ 2 | leaves 1 |
| 3 | 4009 ÷ 3 | leaves 1 |
| 5 | 4009 ÷ 5 | leaves 4 |
| 7 | 4009 ÷ 7 | leaves 5 |
| 11 | 4009 ÷ 11 | leaves 5 |
| 13 | 4009 ÷ 13 | leaves 5 |
| 17 | 4009 ÷ 17 | leaves 14 |
| 19 | 4009 ÷ 19 | divides exactly (211) |
| 23 | 4009 ÷ 23 | leaves 7 |
| 29 | 4009 ÷ 29 | leaves 7 |
| 31 | 4009 ÷ 31 | leaves 10 |
| 37 | 4009 ÷ 37 | leaves 13 |
Questions
Is 4009 a prime number?
No, 4009 is not a prime number. It is divisible by 19: 4009 = 19 × 211.
What is the next prime after 4009?
4013.
What is the prime number before 4009?
4007.
What are the factors of 4009?
1, 19, 211, 4009.