Is 5267 a prime number?
No, 5267 is not a prime number. It is divisible by 23: 5267 = 23 × 229.
Is 5267 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 √5267 ≈ 72.57. If none of them divides 5267, it is prime.
- 3
23 divides 5267 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5267 = 23 \times 229 \]
Testing 5267 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5267 ÷ 2 | leaves 1 |
| 3 | 5267 ÷ 3 | leaves 2 |
| 5 | 5267 ÷ 5 | leaves 2 |
| 7 | 5267 ÷ 7 | leaves 3 |
| 11 | 5267 ÷ 11 | leaves 9 |
| 13 | 5267 ÷ 13 | leaves 2 |
| 17 | 5267 ÷ 17 | leaves 14 |
| 19 | 5267 ÷ 19 | leaves 4 |
| 23 | 5267 ÷ 23 | divides exactly (229) |
| 29 | 5267 ÷ 29 | leaves 18 |
| 31 | 5267 ÷ 31 | leaves 28 |
| 37 | 5267 ÷ 37 | leaves 13 |
Questions
Is 5267 a prime number?
No, 5267 is not a prime number. It is divisible by 23: 5267 = 23 × 229.
What is the next prime after 5267?
5273.
What is the prime number before 5267?
5261.
What are the factors of 5267?
1, 23, 229, 5267.