Is 5006 a prime number?
No, 5006 is not a prime number. It is divisible by 2: 5006 = 2 × 2503.
Is 5006 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 √5006 ≈ 70.75. If none of them divides 5006, it is prime.
- 3
2 divides 5006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5006 = 2 \times 2503 \]
Testing 5006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5006 ÷ 2 | divides exactly (2503) |
| 3 | 5006 ÷ 3 | leaves 2 |
| 5 | 5006 ÷ 5 | leaves 1 |
| 7 | 5006 ÷ 7 | leaves 1 |
| 11 | 5006 ÷ 11 | leaves 1 |
| 13 | 5006 ÷ 13 | leaves 1 |
| 17 | 5006 ÷ 17 | leaves 8 |
| 19 | 5006 ÷ 19 | leaves 9 |
| 23 | 5006 ÷ 23 | leaves 15 |
| 29 | 5006 ÷ 29 | leaves 18 |
| 31 | 5006 ÷ 31 | leaves 15 |
| 37 | 5006 ÷ 37 | leaves 11 |
Questions
Is 5006 a prime number?
No, 5006 is not a prime number. It is divisible by 2: 5006 = 2 × 2503.
What is the next prime after 5006?
5009.
What is the prime number before 5006?
5003.
What are the factors of 5006?
1, 2, 2503, 5006.