Is 2997 a prime number?
No, 2997 is not a prime number. It is divisible by 3: 2997 = 3 × 999.
Is 2997 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 √2997 ≈ 54.74. If none of them divides 2997, it is prime.
- 3
3 divides 2997 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2997 = 3^{4} \times 37 \]Testing 2997 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2997 ÷ 2 | leaves 1 |
| 3 | 2997 ÷ 3 | divides exactly (999) |
| 5 | 2997 ÷ 5 | leaves 2 |
| 7 | 2997 ÷ 7 | leaves 1 |
| 11 | 2997 ÷ 11 | leaves 5 |
| 13 | 2997 ÷ 13 | leaves 7 |
| 17 | 2997 ÷ 17 | leaves 5 |
| 19 | 2997 ÷ 19 | leaves 14 |
| 23 | 2997 ÷ 23 | leaves 7 |
| 29 | 2997 ÷ 29 | leaves 10 |
| 31 | 2997 ÷ 31 | leaves 21 |
| 37 | 2997 ÷ 37 | divides exactly (81) |
Questions
Is 2997 a prime number?
No, 2997 is not a prime number. It is divisible by 3: 2997 = 3 × 999.
What is the next prime after 2997?
2999.
What is the prime number before 2997?
2971.
What are the factors of 2997?
1, 3, 9, 27, 37, 81, 111, 333, 999, 2997.