Is 2024 a prime number?
No, 2024 is not a prime number. It is divisible by 2: 2024 = 2 × 1012.
Is 2024 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 √2024 ≈ 44.99. If none of them divides 2024, it is prime.
- 3
2 divides 2024 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2024 = 2^{3} \times 11 \times 23 \]Testing 2024 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2024 ÷ 2 | divides exactly (1012) |
| 3 | 2024 ÷ 3 | leaves 2 |
| 5 | 2024 ÷ 5 | leaves 4 |
| 7 | 2024 ÷ 7 | leaves 1 |
| 11 | 2024 ÷ 11 | divides exactly (184) |
| 13 | 2024 ÷ 13 | leaves 9 |
| 17 | 2024 ÷ 17 | leaves 1 |
| 19 | 2024 ÷ 19 | leaves 10 |
| 23 | 2024 ÷ 23 | divides exactly (88) |
| 29 | 2024 ÷ 29 | leaves 23 |
| 31 | 2024 ÷ 31 | leaves 9 |
| 37 | 2024 ÷ 37 | leaves 26 |
Questions
Is 2024 a prime number?
No, 2024 is not a prime number. It is divisible by 2: 2024 = 2 × 1012.
What is the next prime after 2024?
2027.
What is the prime number before 2024?
2017.
What are the factors of 2024?
1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024.