Is 2967 a prime number?
No, 2967 is not a prime number. It is divisible by 3: 2967 = 3 × 989.
Is 2967 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 √2967 ≈ 54.47. If none of them divides 2967, it is prime.
- 3
3 divides 2967 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2967 = 3 \times 23 \times 43 \]
Testing 2967 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2967 ÷ 2 | leaves 1 |
| 3 | 2967 ÷ 3 | divides exactly (989) |
| 5 | 2967 ÷ 5 | leaves 2 |
| 7 | 2967 ÷ 7 | leaves 6 |
| 11 | 2967 ÷ 11 | leaves 8 |
| 13 | 2967 ÷ 13 | leaves 3 |
| 17 | 2967 ÷ 17 | leaves 9 |
| 19 | 2967 ÷ 19 | leaves 3 |
| 23 | 2967 ÷ 23 | divides exactly (129) |
| 29 | 2967 ÷ 29 | leaves 9 |
| 31 | 2967 ÷ 31 | leaves 22 |
| 37 | 2967 ÷ 37 | leaves 7 |
Questions
Is 2967 a prime number?
No, 2967 is not a prime number. It is divisible by 3: 2967 = 3 × 989.
What is the next prime after 2967?
2969.
What is the prime number before 2967?
2963.
What are the factors of 2967?
1, 3, 23, 43, 69, 129, 989, 2967.