Is 8671 a prime number?
No, 8671 is not a prime number. It is divisible by 13: 8671 = 13 × 667.
Is 8671 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 √8671 ≈ 93.12. If none of them divides 8671, it is prime.
- 3
13 divides 8671 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8671 = 13 \times 23 \times 29 \]
Testing 8671 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8671 ÷ 2 | leaves 1 |
| 3 | 8671 ÷ 3 | leaves 1 |
| 5 | 8671 ÷ 5 | leaves 1 |
| 7 | 8671 ÷ 7 | leaves 5 |
| 11 | 8671 ÷ 11 | leaves 3 |
| 13 | 8671 ÷ 13 | divides exactly (667) |
| 17 | 8671 ÷ 17 | leaves 1 |
| 19 | 8671 ÷ 19 | leaves 7 |
| 23 | 8671 ÷ 23 | divides exactly (377) |
| 29 | 8671 ÷ 29 | divides exactly (299) |
| 31 | 8671 ÷ 31 | leaves 22 |
| 37 | 8671 ÷ 37 | leaves 13 |
Questions
Is 8671 a prime number?
No, 8671 is not a prime number. It is divisible by 13: 8671 = 13 × 667.
What is the next prime after 8671?
8677.
What is the prime number before 8671?
8669.
What are the factors of 8671?
1, 13, 23, 29, 299, 377, 667, 8671.