Is 9959 a prime number?
No, 9959 is not a prime number. It is divisible by 23: 9959 = 23 × 433.
Is 9959 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 √9959 ≈ 99.79. If none of them divides 9959, it is prime.
- 3
23 divides 9959 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9959 = 23 \times 433 \]
Testing 9959 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9959 ÷ 2 | leaves 1 |
| 3 | 9959 ÷ 3 | leaves 2 |
| 5 | 9959 ÷ 5 | leaves 4 |
| 7 | 9959 ÷ 7 | leaves 5 |
| 11 | 9959 ÷ 11 | leaves 4 |
| 13 | 9959 ÷ 13 | leaves 1 |
| 17 | 9959 ÷ 17 | leaves 14 |
| 19 | 9959 ÷ 19 | leaves 3 |
| 23 | 9959 ÷ 23 | divides exactly (433) |
| 29 | 9959 ÷ 29 | leaves 12 |
| 31 | 9959 ÷ 31 | leaves 8 |
| 37 | 9959 ÷ 37 | leaves 6 |
Questions
Is 9959 a prime number?
No, 9959 is not a prime number. It is divisible by 23: 9959 = 23 × 433.
What is the next prime after 9959?
9967.
What is the prime number before 9959?
9949.
What are the factors of 9959?
1, 23, 433, 9959.