Is 9988 a prime number?
No, 9988 is not a prime number. It is divisible by 2: 9988 = 2 × 4994.
Is 9988 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 √9988 ≈ 99.94. If none of them divides 9988, it is prime.
- 3
2 divides 9988 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9988 = 2^{2} \times 11 \times 227 \]Testing 9988 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9988 ÷ 2 | divides exactly (4994) |
| 3 | 9988 ÷ 3 | leaves 1 |
| 5 | 9988 ÷ 5 | leaves 3 |
| 7 | 9988 ÷ 7 | leaves 6 |
| 11 | 9988 ÷ 11 | divides exactly (908) |
| 13 | 9988 ÷ 13 | leaves 4 |
| 17 | 9988 ÷ 17 | leaves 9 |
| 19 | 9988 ÷ 19 | leaves 13 |
| 23 | 9988 ÷ 23 | leaves 6 |
| 29 | 9988 ÷ 29 | leaves 12 |
| 31 | 9988 ÷ 31 | leaves 6 |
| 37 | 9988 ÷ 37 | leaves 35 |
Questions
Is 9988 a prime number?
No, 9988 is not a prime number. It is divisible by 2: 9988 = 2 × 4994.
What is the next prime after 9988?
10007.
What is the prime number before 9988?
9973.
What are the factors of 9988?
1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988.