Is 8004 a prime number?
No, 8004 is not a prime number. It is divisible by 2: 8004 = 2 × 4002.
Is 8004 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 √8004 ≈ 89.47. If none of them divides 8004, it is prime.
- 3
2 divides 8004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8004 = 2^{2} \times 3 \times 23 \times 29 \]Testing 8004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8004 ÷ 2 | divides exactly (4002) |
| 3 | 8004 ÷ 3 | divides exactly (2668) |
| 5 | 8004 ÷ 5 | leaves 4 |
| 7 | 8004 ÷ 7 | leaves 3 |
| 11 | 8004 ÷ 11 | leaves 7 |
| 13 | 8004 ÷ 13 | leaves 9 |
| 17 | 8004 ÷ 17 | leaves 14 |
| 19 | 8004 ÷ 19 | leaves 5 |
| 23 | 8004 ÷ 23 | divides exactly (348) |
| 29 | 8004 ÷ 29 | divides exactly (276) |
| 31 | 8004 ÷ 31 | leaves 6 |
| 37 | 8004 ÷ 37 | leaves 12 |
Questions
Is 8004 a prime number?
No, 8004 is not a prime number. It is divisible by 2: 8004 = 2 × 4002.
What is the next prime after 8004?
8009.
What is the prime number before 8004?
7993.
What are the factors of 8004?
1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004.