Is 4000 a prime number?
No, 4000 is not a prime number. It is divisible by 2: 4000 = 2 × 2000.
Is 4000 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 √4000 ≈ 63.25. If none of them divides 4000, it is prime.
- 3
2 divides 4000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4000 = 2^{5} \times 5^{3} \]Testing 4000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4000 ÷ 2 | divides exactly (2000) |
| 3 | 4000 ÷ 3 | leaves 1 |
| 5 | 4000 ÷ 5 | divides exactly (800) |
| 7 | 4000 ÷ 7 | leaves 3 |
| 11 | 4000 ÷ 11 | leaves 7 |
| 13 | 4000 ÷ 13 | leaves 9 |
| 17 | 4000 ÷ 17 | leaves 5 |
| 19 | 4000 ÷ 19 | leaves 10 |
| 23 | 4000 ÷ 23 | leaves 21 |
| 29 | 4000 ÷ 29 | leaves 27 |
| 31 | 4000 ÷ 31 | leaves 1 |
| 37 | 4000 ÷ 37 | leaves 4 |
Questions
Is 4000 a prime number?
No, 4000 is not a prime number. It is divisible by 2: 4000 = 2 × 2000.
What is the next prime after 4000?
4001.
What is the prime number before 4000?
3989.
What are the factors of 4000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000.