Is 689 a prime number?
No, 689 is not a prime number. It is divisible by 13: 689 = 13 × 53.
Is 689 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 √689 ≈ 26.25. If none of them divides 689, it is prime.
- 3
13 divides 689 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 689 = 13 \times 53 \]
Testing 689 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 689 ÷ 2 | leaves 1 |
| 3 | 689 ÷ 3 | leaves 2 |
| 5 | 689 ÷ 5 | leaves 4 |
| 7 | 689 ÷ 7 | leaves 3 |
| 11 | 689 ÷ 11 | leaves 7 |
| 13 | 689 ÷ 13 | divides exactly (53) |
| 17 | 689 ÷ 17 | leaves 9 |
| 19 | 689 ÷ 19 | leaves 5 |
| 23 | 689 ÷ 23 | leaves 22 |
Questions
Is 689 a prime number?
No, 689 is not a prime number. It is divisible by 13: 689 = 13 × 53.
What is the next prime after 689?
691.
What is the prime number before 689?
683.
What are the factors of 689?
1, 13, 53, 689.