Is 8809 a prime number?
No, 8809 is not a prime number. It is divisible by 23: 8809 = 23 × 383.
Is 8809 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 √8809 ≈ 93.86. If none of them divides 8809, it is prime.
- 3
23 divides 8809 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8809 = 23 \times 383 \]
Testing 8809 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8809 ÷ 2 | leaves 1 |
| 3 | 8809 ÷ 3 | leaves 1 |
| 5 | 8809 ÷ 5 | leaves 4 |
| 7 | 8809 ÷ 7 | leaves 3 |
| 11 | 8809 ÷ 11 | leaves 9 |
| 13 | 8809 ÷ 13 | leaves 8 |
| 17 | 8809 ÷ 17 | leaves 3 |
| 19 | 8809 ÷ 19 | leaves 12 |
| 23 | 8809 ÷ 23 | divides exactly (383) |
| 29 | 8809 ÷ 29 | leaves 22 |
| 31 | 8809 ÷ 31 | leaves 5 |
| 37 | 8809 ÷ 37 | leaves 3 |
Questions
Is 8809 a prime number?
No, 8809 is not a prime number. It is divisible by 23: 8809 = 23 × 383.
What is the next prime after 8809?
8819.
What is the prime number before 8809?
8807.
What are the factors of 8809?
1, 23, 383, 8809.