Is 2400 a prime number?
No, 2400 is not a prime number. It is divisible by 2: 2400 = 2 × 1200.
Is 2400 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 √2400 ≈ 48.99. If none of them divides 2400, it is prime.
- 3
2 divides 2400 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2400 = 2^{5} \times 3 \times 5^{2} \]Testing 2400 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2400 ÷ 2 | divides exactly (1200) |
| 3 | 2400 ÷ 3 | divides exactly (800) |
| 5 | 2400 ÷ 5 | divides exactly (480) |
| 7 | 2400 ÷ 7 | leaves 6 |
| 11 | 2400 ÷ 11 | leaves 2 |
| 13 | 2400 ÷ 13 | leaves 8 |
| 17 | 2400 ÷ 17 | leaves 3 |
| 19 | 2400 ÷ 19 | leaves 6 |
| 23 | 2400 ÷ 23 | leaves 8 |
| 29 | 2400 ÷ 29 | leaves 22 |
| 31 | 2400 ÷ 31 | leaves 13 |
| 37 | 2400 ÷ 37 | leaves 32 |
Questions
Is 2400 a prime number?
No, 2400 is not a prime number. It is divisible by 2: 2400 = 2 × 1200.
What is the next prime after 2400?
2411.
What is the prime number before 2400?
2399.
What are the factors of 2400?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.