Is 2023 a prime number?
No, 2023 is not a prime number. It is divisible by 7: 2023 = 7 × 289.
Is 2023 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 √2023 ≈ 44.98. If none of them divides 2023, it is prime.
- 3
7 divides 2023 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2023 = 7 \times 17^{2} \]Testing 2023 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2023 ÷ 2 | leaves 1 |
| 3 | 2023 ÷ 3 | leaves 1 |
| 5 | 2023 ÷ 5 | leaves 3 |
| 7 | 2023 ÷ 7 | divides exactly (289) |
| 11 | 2023 ÷ 11 | leaves 10 |
| 13 | 2023 ÷ 13 | leaves 8 |
| 17 | 2023 ÷ 17 | divides exactly (119) |
| 19 | 2023 ÷ 19 | leaves 9 |
| 23 | 2023 ÷ 23 | leaves 22 |
| 29 | 2023 ÷ 29 | leaves 22 |
| 31 | 2023 ÷ 31 | leaves 8 |
| 37 | 2023 ÷ 37 | leaves 25 |
Questions
Is 2023 a prime number?
No, 2023 is not a prime number. It is divisible by 7: 2023 = 7 × 289.
What is the next prime after 2023?
2027.
What is the prime number before 2023?
2017.
What are the factors of 2023?
1, 7, 17, 119, 289, 2023.