Is 2067 a prime number?
No, 2067 is not a prime number. It is divisible by 3: 2067 = 3 × 689.
Is 2067 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 √2067 ≈ 45.46. If none of them divides 2067, it is prime.
- 3
3 divides 2067 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2067 = 3 \times 13 \times 53 \]
Testing 2067 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2067 ÷ 2 | leaves 1 |
| 3 | 2067 ÷ 3 | divides exactly (689) |
| 5 | 2067 ÷ 5 | leaves 2 |
| 7 | 2067 ÷ 7 | leaves 2 |
| 11 | 2067 ÷ 11 | leaves 10 |
| 13 | 2067 ÷ 13 | divides exactly (159) |
| 17 | 2067 ÷ 17 | leaves 10 |
| 19 | 2067 ÷ 19 | leaves 15 |
| 23 | 2067 ÷ 23 | leaves 20 |
| 29 | 2067 ÷ 29 | leaves 8 |
| 31 | 2067 ÷ 31 | leaves 21 |
| 37 | 2067 ÷ 37 | leaves 32 |
Questions
Is 2067 a prime number?
No, 2067 is not a prime number. It is divisible by 3: 2067 = 3 × 689.
What is the next prime after 2067?
2069.
What is the prime number before 2067?
2063.
What are the factors of 2067?
1, 3, 13, 39, 53, 159, 689, 2067.