Is 2464 a prime number?
No, 2464 is not a prime number. It is divisible by 2: 2464 = 2 × 1232.
Is 2464 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 √2464 ≈ 49.64. If none of them divides 2464, it is prime.
- 3
2 divides 2464 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2464 = 2^{5} \times 7 \times 11 \]Testing 2464 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2464 ÷ 2 | divides exactly (1232) |
| 3 | 2464 ÷ 3 | leaves 1 |
| 5 | 2464 ÷ 5 | leaves 4 |
| 7 | 2464 ÷ 7 | divides exactly (352) |
| 11 | 2464 ÷ 11 | divides exactly (224) |
| 13 | 2464 ÷ 13 | leaves 7 |
| 17 | 2464 ÷ 17 | leaves 16 |
| 19 | 2464 ÷ 19 | leaves 13 |
| 23 | 2464 ÷ 23 | leaves 3 |
| 29 | 2464 ÷ 29 | leaves 28 |
| 31 | 2464 ÷ 31 | leaves 15 |
| 37 | 2464 ÷ 37 | leaves 22 |
Questions
Is 2464 a prime number?
No, 2464 is not a prime number. It is divisible by 2: 2464 = 2 × 1232.
What is the next prime after 2464?
2467.
What is the prime number before 2464?
2459.
What are the factors of 2464?
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464.