Is 7007 a prime number?
No, 7007 is not a prime number. It is divisible by 7: 7007 = 7 × 1001.
Is 7007 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 √7007 ≈ 83.71. If none of them divides 7007, it is prime.
- 3
7 divides 7007 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7007 = 7^{2} \times 11 \times 13 \]Testing 7007 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7007 ÷ 2 | leaves 1 |
| 3 | 7007 ÷ 3 | leaves 2 |
| 5 | 7007 ÷ 5 | leaves 2 |
| 7 | 7007 ÷ 7 | divides exactly (1001) |
| 11 | 7007 ÷ 11 | divides exactly (637) |
| 13 | 7007 ÷ 13 | divides exactly (539) |
| 17 | 7007 ÷ 17 | leaves 3 |
| 19 | 7007 ÷ 19 | leaves 15 |
| 23 | 7007 ÷ 23 | leaves 15 |
| 29 | 7007 ÷ 29 | leaves 18 |
| 31 | 7007 ÷ 31 | leaves 1 |
| 37 | 7007 ÷ 37 | leaves 14 |
Questions
Is 7007 a prime number?
No, 7007 is not a prime number. It is divisible by 7: 7007 = 7 × 1001.
What is the next prime after 7007?
7013.
What is the prime number before 7007?
7001.
What are the factors of 7007?
1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007.