Is 2249 a prime number?
No, 2249 is not a prime number. It is divisible by 13: 2249 = 13 × 173.
Is 2249 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 √2249 ≈ 47.42. If none of them divides 2249, it is prime.
- 3
13 divides 2249 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2249 = 13 \times 173 \]
Testing 2249 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2249 ÷ 2 | leaves 1 |
| 3 | 2249 ÷ 3 | leaves 2 |
| 5 | 2249 ÷ 5 | leaves 4 |
| 7 | 2249 ÷ 7 | leaves 2 |
| 11 | 2249 ÷ 11 | leaves 5 |
| 13 | 2249 ÷ 13 | divides exactly (173) |
| 17 | 2249 ÷ 17 | leaves 5 |
| 19 | 2249 ÷ 19 | leaves 7 |
| 23 | 2249 ÷ 23 | leaves 18 |
| 29 | 2249 ÷ 29 | leaves 16 |
| 31 | 2249 ÷ 31 | leaves 17 |
| 37 | 2249 ÷ 37 | leaves 29 |
Questions
Is 2249 a prime number?
No, 2249 is not a prime number. It is divisible by 13: 2249 = 13 × 173.
What is the next prime after 2249?
2251.
What is the prime number before 2249?
2243.
What are the factors of 2249?
1, 13, 173, 2249.