Is 9958 a prime number?
No, 9958 is not a prime number. It is divisible by 2: 9958 = 2 × 4979.
Is 9958 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 √9958 ≈ 99.79. If none of them divides 9958, it is prime.
- 3
2 divides 9958 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9958 = 2 \times 13 \times 383 \]
Testing 9958 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9958 ÷ 2 | divides exactly (4979) |
| 3 | 9958 ÷ 3 | leaves 1 |
| 5 | 9958 ÷ 5 | leaves 3 |
| 7 | 9958 ÷ 7 | leaves 4 |
| 11 | 9958 ÷ 11 | leaves 3 |
| 13 | 9958 ÷ 13 | divides exactly (766) |
| 17 | 9958 ÷ 17 | leaves 13 |
| 19 | 9958 ÷ 19 | leaves 2 |
| 23 | 9958 ÷ 23 | leaves 22 |
| 29 | 9958 ÷ 29 | leaves 11 |
| 31 | 9958 ÷ 31 | leaves 7 |
| 37 | 9958 ÷ 37 | leaves 5 |
Questions
Is 9958 a prime number?
No, 9958 is not a prime number. It is divisible by 2: 9958 = 2 × 4979.
What is the next prime after 9958?
9967.
What is the prime number before 9958?
9949.
What are the factors of 9958?
1, 2, 13, 26, 383, 766, 4979, 9958.