Is 5989 a prime number?
No, 5989 is not a prime number. It is divisible by 53: 5989 = 53 × 113.
Is 5989 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 √5989 ≈ 77.39. If none of them divides 5989, it is prime.
- 3
53 divides 5989 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5989 = 53 \times 113 \]
Testing 5989 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5989 ÷ 2 | leaves 1 |
| 3 | 5989 ÷ 3 | leaves 1 |
| 5 | 5989 ÷ 5 | leaves 4 |
| 7 | 5989 ÷ 7 | leaves 4 |
| 11 | 5989 ÷ 11 | leaves 5 |
| 13 | 5989 ÷ 13 | leaves 9 |
| 17 | 5989 ÷ 17 | leaves 5 |
| 19 | 5989 ÷ 19 | leaves 4 |
| 23 | 5989 ÷ 23 | leaves 9 |
| 29 | 5989 ÷ 29 | leaves 15 |
| 31 | 5989 ÷ 31 | leaves 6 |
| 37 | 5989 ÷ 37 | leaves 32 |
Questions
Is 5989 a prime number?
No, 5989 is not a prime number. It is divisible by 53: 5989 = 53 × 113.
What is the next prime after 5989?
6007.
What is the prime number before 5989?
5987.
What are the factors of 5989?
1, 53, 113, 5989.