Is 8267 a prime number?
No, 8267 is not a prime number. It is divisible by 7: 8267 = 7 × 1181.
Is 8267 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 √8267 ≈ 90.92. If none of them divides 8267, it is prime.
- 3
7 divides 8267 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8267 = 7 \times 1181 \]
Testing 8267 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8267 ÷ 2 | leaves 1 |
| 3 | 8267 ÷ 3 | leaves 2 |
| 5 | 8267 ÷ 5 | leaves 2 |
| 7 | 8267 ÷ 7 | divides exactly (1181) |
| 11 | 8267 ÷ 11 | leaves 6 |
| 13 | 8267 ÷ 13 | leaves 12 |
| 17 | 8267 ÷ 17 | leaves 5 |
| 19 | 8267 ÷ 19 | leaves 2 |
| 23 | 8267 ÷ 23 | leaves 10 |
| 29 | 8267 ÷ 29 | leaves 2 |
| 31 | 8267 ÷ 31 | leaves 21 |
| 37 | 8267 ÷ 37 | leaves 16 |
Questions
Is 8267 a prime number?
No, 8267 is not a prime number. It is divisible by 7: 8267 = 7 × 1181.
What is the next prime after 8267?
8269.
What is the prime number before 8267?
8263.
What are the factors of 8267?
1, 7, 1181, 8267.