Is 4023 a prime number?
No, 4023 is not a prime number. It is divisible by 3: 4023 = 3 × 1341.
Is 4023 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 √4023 ≈ 63.43. If none of them divides 4023, it is prime.
- 3
3 divides 4023 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4023 = 3^{3} \times 149 \]Testing 4023 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4023 ÷ 2 | leaves 1 |
| 3 | 4023 ÷ 3 | divides exactly (1341) |
| 5 | 4023 ÷ 5 | leaves 3 |
| 7 | 4023 ÷ 7 | leaves 5 |
| 11 | 4023 ÷ 11 | leaves 8 |
| 13 | 4023 ÷ 13 | leaves 6 |
| 17 | 4023 ÷ 17 | leaves 11 |
| 19 | 4023 ÷ 19 | leaves 14 |
| 23 | 4023 ÷ 23 | leaves 21 |
| 29 | 4023 ÷ 29 | leaves 21 |
| 31 | 4023 ÷ 31 | leaves 24 |
| 37 | 4023 ÷ 37 | leaves 27 |
Questions
Is 4023 a prime number?
No, 4023 is not a prime number. It is divisible by 3: 4023 = 3 × 1341.
What is the next prime after 4023?
4027.
What is the prime number before 4023?
4021.
What are the factors of 4023?
1, 3, 9, 27, 149, 447, 1341, 4023.