Is 667 a prime number?
No, 667 is not a prime number. It is divisible by 23: 667 = 23 × 29.
Is 667 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 √667 ≈ 25.83. If none of them divides 667, it is prime.
- 3
23 divides 667 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 667 = 23 \times 29 \]
Testing 667 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 667 ÷ 2 | leaves 1 |
| 3 | 667 ÷ 3 | leaves 1 |
| 5 | 667 ÷ 5 | leaves 2 |
| 7 | 667 ÷ 7 | leaves 2 |
| 11 | 667 ÷ 11 | leaves 7 |
| 13 | 667 ÷ 13 | leaves 4 |
| 17 | 667 ÷ 17 | leaves 4 |
| 19 | 667 ÷ 19 | leaves 2 |
| 23 | 667 ÷ 23 | divides exactly (29) |
Questions
Is 667 a prime number?
No, 667 is not a prime number. It is divisible by 23: 667 = 23 × 29.
What is the next prime after 667?
673.
What is the prime number before 667?
661.
What are the factors of 667?
1, 23, 29, 667.