Is 7667 a prime number?
No, 7667 is not a prime number. It is divisible by 11: 7667 = 11 × 697.
Is 7667 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 √7667 ≈ 87.56. If none of them divides 7667, it is prime.
- 3
11 divides 7667 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7667 = 11 \times 17 \times 41 \]
Testing 7667 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7667 ÷ 2 | leaves 1 |
| 3 | 7667 ÷ 3 | leaves 2 |
| 5 | 7667 ÷ 5 | leaves 2 |
| 7 | 7667 ÷ 7 | leaves 2 |
| 11 | 7667 ÷ 11 | divides exactly (697) |
| 13 | 7667 ÷ 13 | leaves 10 |
| 17 | 7667 ÷ 17 | divides exactly (451) |
| 19 | 7667 ÷ 19 | leaves 10 |
| 23 | 7667 ÷ 23 | leaves 8 |
| 29 | 7667 ÷ 29 | leaves 11 |
| 31 | 7667 ÷ 31 | leaves 10 |
| 37 | 7667 ÷ 37 | leaves 8 |
Questions
Is 7667 a prime number?
No, 7667 is not a prime number. It is divisible by 11: 7667 = 11 × 697.
What is the next prime after 7667?
7669.
What is the prime number before 7667?
7649.
What are the factors of 7667?
1, 11, 17, 41, 187, 451, 697, 7667.