Is 9998 a prime number?
No, 9998 is not a prime number. It is divisible by 2: 9998 = 2 × 4999.
Is 9998 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 √9998 ≈ 99.99. If none of them divides 9998, it is prime.
- 3
2 divides 9998 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9998 = 2 \times 4999 \]
Testing 9998 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9998 ÷ 2 | divides exactly (4999) |
| 3 | 9998 ÷ 3 | leaves 2 |
| 5 | 9998 ÷ 5 | leaves 3 |
| 7 | 9998 ÷ 7 | leaves 2 |
| 11 | 9998 ÷ 11 | leaves 10 |
| 13 | 9998 ÷ 13 | leaves 1 |
| 17 | 9998 ÷ 17 | leaves 2 |
| 19 | 9998 ÷ 19 | leaves 4 |
| 23 | 9998 ÷ 23 | leaves 16 |
| 29 | 9998 ÷ 29 | leaves 22 |
| 31 | 9998 ÷ 31 | leaves 16 |
| 37 | 9998 ÷ 37 | leaves 8 |
Questions
Is 9998 a prime number?
No, 9998 is not a prime number. It is divisible by 2: 9998 = 2 × 4999.
What is the next prime after 9998?
10007.
What is the prime number before 9998?
9973.
What are the factors of 9998?
1, 2, 4999, 9998.