Is 3007 a prime number?
No, 3007 is not a prime number. It is divisible by 31: 3007 = 31 × 97.
Is 3007 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 √3007 ≈ 54.84. If none of them divides 3007, it is prime.
- 3
31 divides 3007 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3007 = 31 \times 97 \]
Testing 3007 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3007 ÷ 2 | leaves 1 |
| 3 | 3007 ÷ 3 | leaves 1 |
| 5 | 3007 ÷ 5 | leaves 2 |
| 7 | 3007 ÷ 7 | leaves 4 |
| 11 | 3007 ÷ 11 | leaves 4 |
| 13 | 3007 ÷ 13 | leaves 4 |
| 17 | 3007 ÷ 17 | leaves 15 |
| 19 | 3007 ÷ 19 | leaves 5 |
| 23 | 3007 ÷ 23 | leaves 17 |
| 29 | 3007 ÷ 29 | leaves 20 |
| 31 | 3007 ÷ 31 | divides exactly (97) |
| 37 | 3007 ÷ 37 | leaves 10 |
Questions
Is 3007 a prime number?
No, 3007 is not a prime number. It is divisible by 31: 3007 = 31 × 97.
What is the next prime after 3007?
3011.
What is the prime number before 3007?
3001.
What are the factors of 3007?
1, 31, 97, 3007.