Is 5002 a prime number?
No, 5002 is not a prime number. It is divisible by 2: 5002 = 2 × 2501.
Is 5002 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 √5002 ≈ 70.72. If none of them divides 5002, it is prime.
- 3
2 divides 5002 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5002 = 2 \times 41 \times 61 \]
Testing 5002 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5002 ÷ 2 | divides exactly (2501) |
| 3 | 5002 ÷ 3 | leaves 1 |
| 5 | 5002 ÷ 5 | leaves 2 |
| 7 | 5002 ÷ 7 | leaves 4 |
| 11 | 5002 ÷ 11 | leaves 8 |
| 13 | 5002 ÷ 13 | leaves 10 |
| 17 | 5002 ÷ 17 | leaves 4 |
| 19 | 5002 ÷ 19 | leaves 5 |
| 23 | 5002 ÷ 23 | leaves 11 |
| 29 | 5002 ÷ 29 | leaves 14 |
| 31 | 5002 ÷ 31 | leaves 11 |
| 37 | 5002 ÷ 37 | leaves 7 |
Questions
Is 5002 a prime number?
No, 5002 is not a prime number. It is divisible by 2: 5002 = 2 × 2501.
What is the next prime after 5002?
5003.
What is the prime number before 5002?
4999.
What are the factors of 5002?
1, 2, 41, 61, 82, 122, 2501, 5002.