Is 4267 a prime number?
No, 4267 is not a prime number. It is divisible by 17: 4267 = 17 × 251.
Is 4267 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 √4267 ≈ 65.32. If none of them divides 4267, it is prime.
- 3
17 divides 4267 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4267 = 17 \times 251 \]
Testing 4267 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4267 ÷ 2 | leaves 1 |
| 3 | 4267 ÷ 3 | leaves 1 |
| 5 | 4267 ÷ 5 | leaves 2 |
| 7 | 4267 ÷ 7 | leaves 4 |
| 11 | 4267 ÷ 11 | leaves 10 |
| 13 | 4267 ÷ 13 | leaves 3 |
| 17 | 4267 ÷ 17 | divides exactly (251) |
| 19 | 4267 ÷ 19 | leaves 11 |
| 23 | 4267 ÷ 23 | leaves 12 |
| 29 | 4267 ÷ 29 | leaves 4 |
| 31 | 4267 ÷ 31 | leaves 20 |
| 37 | 4267 ÷ 37 | leaves 12 |
Questions
Is 4267 a prime number?
No, 4267 is not a prime number. It is divisible by 17: 4267 = 17 × 251.
What is the next prime after 4267?
4271.
What is the prime number before 4267?
4261.
What are the factors of 4267?
1, 17, 251, 4267.