Is 5004 a prime number?
No, 5004 is not a prime number. It is divisible by 2: 5004 = 2 × 2502.
Is 5004 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 √5004 ≈ 70.74. If none of them divides 5004, it is prime.
- 3
2 divides 5004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5004 = 2^{2} \times 3^{2} \times 139 \]Testing 5004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5004 ÷ 2 | divides exactly (2502) |
| 3 | 5004 ÷ 3 | divides exactly (1668) |
| 5 | 5004 ÷ 5 | leaves 4 |
| 7 | 5004 ÷ 7 | leaves 6 |
| 11 | 5004 ÷ 11 | leaves 10 |
| 13 | 5004 ÷ 13 | leaves 12 |
| 17 | 5004 ÷ 17 | leaves 6 |
| 19 | 5004 ÷ 19 | leaves 7 |
| 23 | 5004 ÷ 23 | leaves 13 |
| 29 | 5004 ÷ 29 | leaves 16 |
| 31 | 5004 ÷ 31 | leaves 13 |
| 37 | 5004 ÷ 37 | leaves 9 |
Questions
Is 5004 a prime number?
No, 5004 is not a prime number. It is divisible by 2: 5004 = 2 × 2502.
What is the next prime after 5004?
5009.
What is the prime number before 5004?
5003.
What are the factors of 5004?
1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004.