Is 8424 a prime number?
No, 8424 is not a prime number. It is divisible by 2: 8424 = 2 × 4212.
Is 8424 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 √8424 ≈ 91.78. If none of them divides 8424, it is prime.
- 3
2 divides 8424 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8424 = 2^{3} \times 3^{4} \times 13 \]Testing 8424 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8424 ÷ 2 | divides exactly (4212) |
| 3 | 8424 ÷ 3 | divides exactly (2808) |
| 5 | 8424 ÷ 5 | leaves 4 |
| 7 | 8424 ÷ 7 | leaves 3 |
| 11 | 8424 ÷ 11 | leaves 9 |
| 13 | 8424 ÷ 13 | divides exactly (648) |
| 17 | 8424 ÷ 17 | leaves 9 |
| 19 | 8424 ÷ 19 | leaves 7 |
| 23 | 8424 ÷ 23 | leaves 6 |
| 29 | 8424 ÷ 29 | leaves 14 |
| 31 | 8424 ÷ 31 | leaves 23 |
| 37 | 8424 ÷ 37 | leaves 25 |
Questions
Is 8424 a prime number?
No, 8424 is not a prime number. It is divisible by 2: 8424 = 2 × 4212.
What is the next prime after 8424?
8429.
What is the prime number before 8424?
8423.
What are the factors of 8424?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424.