Is 4004 a prime number?
No, 4004 is not a prime number. It is divisible by 2: 4004 = 2 × 2002.
Is 4004 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 √4004 ≈ 63.28. If none of them divides 4004, it is prime.
- 3
2 divides 4004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4004 = 2^{2} \times 7 \times 11 \times 13 \]Testing 4004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4004 ÷ 2 | divides exactly (2002) |
| 3 | 4004 ÷ 3 | leaves 2 |
| 5 | 4004 ÷ 5 | leaves 4 |
| 7 | 4004 ÷ 7 | divides exactly (572) |
| 11 | 4004 ÷ 11 | divides exactly (364) |
| 13 | 4004 ÷ 13 | divides exactly (308) |
| 17 | 4004 ÷ 17 | leaves 9 |
| 19 | 4004 ÷ 19 | leaves 14 |
| 23 | 4004 ÷ 23 | leaves 2 |
| 29 | 4004 ÷ 29 | leaves 2 |
| 31 | 4004 ÷ 31 | leaves 5 |
| 37 | 4004 ÷ 37 | leaves 8 |
Questions
Is 4004 a prime number?
No, 4004 is not a prime number. It is divisible by 2: 4004 = 2 × 2002.
What is the next prime after 4004?
4007.
What is the prime number before 4004?
4003.
What are the factors of 4004?
1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004.