Is 1689 a prime number?
No, 1689 is not a prime number. It is divisible by 3: 1689 = 3 × 563.
Is 1689 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 √1689 ≈ 41.10. If none of them divides 1689, it is prime.
- 3
3 divides 1689 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1689 = 3 \times 563 \]
Testing 1689 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1689 ÷ 2 | leaves 1 |
| 3 | 1689 ÷ 3 | divides exactly (563) |
| 5 | 1689 ÷ 5 | leaves 4 |
| 7 | 1689 ÷ 7 | leaves 2 |
| 11 | 1689 ÷ 11 | leaves 6 |
| 13 | 1689 ÷ 13 | leaves 12 |
| 17 | 1689 ÷ 17 | leaves 6 |
| 19 | 1689 ÷ 19 | leaves 17 |
| 23 | 1689 ÷ 23 | leaves 10 |
| 29 | 1689 ÷ 29 | leaves 7 |
| 31 | 1689 ÷ 31 | leaves 15 |
| 37 | 1689 ÷ 37 | leaves 24 |
Questions
Is 1689 a prime number?
No, 1689 is not a prime number. It is divisible by 3: 1689 = 3 × 563.
What is the next prime after 1689?
1693.
What is the prime number before 1689?
1669.
What are the factors of 1689?
1, 3, 563, 1689.