Is 4005 a prime number?
No, 4005 is not a prime number. It is divisible by 3: 4005 = 3 × 1335.
Is 4005 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 √4005 ≈ 63.29. If none of them divides 4005, it is prime.
- 3
3 divides 4005 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4005 = 3^{2} \times 5 \times 89 \]Testing 4005 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4005 ÷ 2 | leaves 1 |
| 3 | 4005 ÷ 3 | divides exactly (1335) |
| 5 | 4005 ÷ 5 | divides exactly (801) |
| 7 | 4005 ÷ 7 | leaves 1 |
| 11 | 4005 ÷ 11 | leaves 1 |
| 13 | 4005 ÷ 13 | leaves 1 |
| 17 | 4005 ÷ 17 | leaves 10 |
| 19 | 4005 ÷ 19 | leaves 15 |
| 23 | 4005 ÷ 23 | leaves 3 |
| 29 | 4005 ÷ 29 | leaves 3 |
| 31 | 4005 ÷ 31 | leaves 6 |
| 37 | 4005 ÷ 37 | leaves 9 |
Questions
Is 4005 a prime number?
No, 4005 is not a prime number. It is divisible by 3: 4005 = 3 × 1335.
What is the next prime after 4005?
4007.
What is the prime number before 4005?
4003.
What are the factors of 4005?
1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005.