Is 5389 a prime number?
No, 5389 is not a prime number. It is divisible by 17: 5389 = 17 × 317.
Is 5389 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 √5389 ≈ 73.41. If none of them divides 5389, it is prime.
- 3
17 divides 5389 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5389 = 17 \times 317 \]
Testing 5389 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5389 ÷ 2 | leaves 1 |
| 3 | 5389 ÷ 3 | leaves 1 |
| 5 | 5389 ÷ 5 | leaves 4 |
| 7 | 5389 ÷ 7 | leaves 6 |
| 11 | 5389 ÷ 11 | leaves 10 |
| 13 | 5389 ÷ 13 | leaves 7 |
| 17 | 5389 ÷ 17 | divides exactly (317) |
| 19 | 5389 ÷ 19 | leaves 12 |
| 23 | 5389 ÷ 23 | leaves 7 |
| 29 | 5389 ÷ 29 | leaves 24 |
| 31 | 5389 ÷ 31 | leaves 26 |
| 37 | 5389 ÷ 37 | leaves 24 |
Questions
Is 5389 a prime number?
No, 5389 is not a prime number. It is divisible by 17: 5389 = 17 × 317.
What is the next prime after 5389?
5393.
What is the prime number before 5389?
5387.
What are the factors of 5389?
1, 17, 317, 5389.