Is 5967 a prime number?
No, 5967 is not a prime number. It is divisible by 3: 5967 = 3 × 1989.
Is 5967 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 √5967 ≈ 77.25. If none of them divides 5967, it is prime.
- 3
3 divides 5967 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5967 = 3^{3} \times 13 \times 17 \]Testing 5967 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5967 ÷ 2 | leaves 1 |
| 3 | 5967 ÷ 3 | divides exactly (1989) |
| 5 | 5967 ÷ 5 | leaves 2 |
| 7 | 5967 ÷ 7 | leaves 3 |
| 11 | 5967 ÷ 11 | leaves 5 |
| 13 | 5967 ÷ 13 | divides exactly (459) |
| 17 | 5967 ÷ 17 | divides exactly (351) |
| 19 | 5967 ÷ 19 | leaves 1 |
| 23 | 5967 ÷ 23 | leaves 10 |
| 29 | 5967 ÷ 29 | leaves 22 |
| 31 | 5967 ÷ 31 | leaves 15 |
| 37 | 5967 ÷ 37 | leaves 10 |
Questions
Is 5967 a prime number?
No, 5967 is not a prime number. It is divisible by 3: 5967 = 3 × 1989.
What is the next prime after 5967?
5981.
What is the prime number before 5967?
5953.
What are the factors of 5967?
1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967.