Is 5000 a prime number?
No, 5000 is not a prime number. It is divisible by 2: 5000 = 2 × 2500.
Is 5000 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 √5000 ≈ 70.71. If none of them divides 5000, it is prime.
- 3
2 divides 5000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5000 = 2^{3} \times 5^{4} \]Testing 5000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5000 ÷ 2 | divides exactly (2500) |
| 3 | 5000 ÷ 3 | leaves 2 |
| 5 | 5000 ÷ 5 | divides exactly (1000) |
| 7 | 5000 ÷ 7 | leaves 2 |
| 11 | 5000 ÷ 11 | leaves 6 |
| 13 | 5000 ÷ 13 | leaves 8 |
| 17 | 5000 ÷ 17 | leaves 2 |
| 19 | 5000 ÷ 19 | leaves 3 |
| 23 | 5000 ÷ 23 | leaves 9 |
| 29 | 5000 ÷ 29 | leaves 12 |
| 31 | 5000 ÷ 31 | leaves 9 |
| 37 | 5000 ÷ 37 | leaves 5 |
Questions
Is 5000 a prime number?
No, 5000 is not a prime number. It is divisible by 2: 5000 = 2 × 2500.
What is the next prime after 5000?
5003.
What is the prime number before 5000?
4999.
What are the factors of 5000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.