Is 4006 a prime number?
No, 4006 is not a prime number. It is divisible by 2: 4006 = 2 × 2003.
Is 4006 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 √4006 ≈ 63.29. If none of them divides 4006, it is prime.
- 3
2 divides 4006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4006 = 2 \times 2003 \]
Testing 4006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4006 ÷ 2 | divides exactly (2003) |
| 3 | 4006 ÷ 3 | leaves 1 |
| 5 | 4006 ÷ 5 | leaves 1 |
| 7 | 4006 ÷ 7 | leaves 2 |
| 11 | 4006 ÷ 11 | leaves 2 |
| 13 | 4006 ÷ 13 | leaves 2 |
| 17 | 4006 ÷ 17 | leaves 11 |
| 19 | 4006 ÷ 19 | leaves 16 |
| 23 | 4006 ÷ 23 | leaves 4 |
| 29 | 4006 ÷ 29 | leaves 4 |
| 31 | 4006 ÷ 31 | leaves 7 |
| 37 | 4006 ÷ 37 | leaves 10 |
Questions
Is 4006 a prime number?
No, 4006 is not a prime number. It is divisible by 2: 4006 = 2 × 2003.
What is the next prime after 4006?
4007.
What is the prime number before 4006?
4003.
What are the factors of 4006?
1, 2, 2003, 4006.