Is 2991 a prime number?
No, 2991 is not a prime number. It is divisible by 3: 2991 = 3 × 997.
Is 2991 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 √2991 ≈ 54.69. If none of them divides 2991, it is prime.
- 3
3 divides 2991 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2991 = 3 \times 997 \]
Testing 2991 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2991 ÷ 2 | leaves 1 |
| 3 | 2991 ÷ 3 | divides exactly (997) |
| 5 | 2991 ÷ 5 | leaves 1 |
| 7 | 2991 ÷ 7 | leaves 2 |
| 11 | 2991 ÷ 11 | leaves 10 |
| 13 | 2991 ÷ 13 | leaves 1 |
| 17 | 2991 ÷ 17 | leaves 16 |
| 19 | 2991 ÷ 19 | leaves 8 |
| 23 | 2991 ÷ 23 | leaves 1 |
| 29 | 2991 ÷ 29 | leaves 4 |
| 31 | 2991 ÷ 31 | leaves 15 |
| 37 | 2991 ÷ 37 | leaves 31 |
Questions
Is 2991 a prime number?
No, 2991 is not a prime number. It is divisible by 3: 2991 = 3 × 997.
What is the next prime after 2991?
2999.
What is the prime number before 2991?
2971.
What are the factors of 2991?
1, 3, 997, 2991.