Is 2019 a prime number?
No, 2019 is not a prime number. It is divisible by 3: 2019 = 3 × 673.
Is 2019 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 √2019 ≈ 44.93. If none of them divides 2019, it is prime.
- 3
3 divides 2019 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2019 = 3 \times 673 \]
Testing 2019 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2019 ÷ 2 | leaves 1 |
| 3 | 2019 ÷ 3 | divides exactly (673) |
| 5 | 2019 ÷ 5 | leaves 4 |
| 7 | 2019 ÷ 7 | leaves 3 |
| 11 | 2019 ÷ 11 | leaves 6 |
| 13 | 2019 ÷ 13 | leaves 4 |
| 17 | 2019 ÷ 17 | leaves 13 |
| 19 | 2019 ÷ 19 | leaves 5 |
| 23 | 2019 ÷ 23 | leaves 18 |
| 29 | 2019 ÷ 29 | leaves 18 |
| 31 | 2019 ÷ 31 | leaves 4 |
| 37 | 2019 ÷ 37 | leaves 21 |
Questions
Is 2019 a prime number?
No, 2019 is not a prime number. It is divisible by 3: 2019 = 3 × 673.
What is the next prime after 2019?
2027.
What is the prime number before 2019?
2017.
What are the factors of 2019?
1, 3, 673, 2019.