Is 2189 a prime number?
No, 2189 is not a prime number. It is divisible by 11: 2189 = 11 × 199.
Is 2189 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 √2189 ≈ 46.79. If none of them divides 2189, it is prime.
- 3
11 divides 2189 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2189 = 11 \times 199 \]
Testing 2189 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2189 ÷ 2 | leaves 1 |
| 3 | 2189 ÷ 3 | leaves 2 |
| 5 | 2189 ÷ 5 | leaves 4 |
| 7 | 2189 ÷ 7 | leaves 5 |
| 11 | 2189 ÷ 11 | divides exactly (199) |
| 13 | 2189 ÷ 13 | leaves 5 |
| 17 | 2189 ÷ 17 | leaves 13 |
| 19 | 2189 ÷ 19 | leaves 4 |
| 23 | 2189 ÷ 23 | leaves 4 |
| 29 | 2189 ÷ 29 | leaves 14 |
| 31 | 2189 ÷ 31 | leaves 19 |
| 37 | 2189 ÷ 37 | leaves 6 |
Questions
Is 2189 a prime number?
No, 2189 is not a prime number. It is divisible by 11: 2189 = 11 × 199.
What is the next prime after 2189?
2203.
What is the prime number before 2189?
2179.
What are the factors of 2189?
1, 11, 199, 2189.