Is 5005 a prime number?
No, 5005 is not a prime number. It is divisible by 5: 5005 = 5 × 1001.
Is 5005 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 √5005 ≈ 70.75. If none of them divides 5005, it is prime.
- 3
5 divides 5005 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5005 = 5 \times 7 \times 11 \times 13 \]
Testing 5005 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5005 ÷ 2 | leaves 1 |
| 3 | 5005 ÷ 3 | leaves 1 |
| 5 | 5005 ÷ 5 | divides exactly (1001) |
| 7 | 5005 ÷ 7 | divides exactly (715) |
| 11 | 5005 ÷ 11 | divides exactly (455) |
| 13 | 5005 ÷ 13 | divides exactly (385) |
| 17 | 5005 ÷ 17 | leaves 7 |
| 19 | 5005 ÷ 19 | leaves 8 |
| 23 | 5005 ÷ 23 | leaves 14 |
| 29 | 5005 ÷ 29 | leaves 17 |
| 31 | 5005 ÷ 31 | leaves 14 |
| 37 | 5005 ÷ 37 | leaves 10 |
Questions
Is 5005 a prime number?
No, 5005 is not a prime number. It is divisible by 5: 5005 = 5 × 1001.
What is the next prime after 5005?
5009.
What is the prime number before 5005?
5003.
What are the factors of 5005?
1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005.