Is 9996 a prime number?
No, 9996 is not a prime number. It is divisible by 2: 9996 = 2 × 4998.
Is 9996 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 √9996 ≈ 99.98. If none of them divides 9996, it is prime.
- 3
2 divides 9996 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9996 = 2^{2} \times 3 \times 7^{2} \times 17 \]Testing 9996 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9996 ÷ 2 | divides exactly (4998) |
| 3 | 9996 ÷ 3 | divides exactly (3332) |
| 5 | 9996 ÷ 5 | leaves 1 |
| 7 | 9996 ÷ 7 | divides exactly (1428) |
| 11 | 9996 ÷ 11 | leaves 8 |
| 13 | 9996 ÷ 13 | leaves 12 |
| 17 | 9996 ÷ 17 | divides exactly (588) |
| 19 | 9996 ÷ 19 | leaves 2 |
| 23 | 9996 ÷ 23 | leaves 14 |
| 29 | 9996 ÷ 29 | leaves 20 |
| 31 | 9996 ÷ 31 | leaves 14 |
| 37 | 9996 ÷ 37 | leaves 6 |
Questions
Is 9996 a prime number?
No, 9996 is not a prime number. It is divisible by 2: 9996 = 2 × 4998.
What is the next prime after 9996?
10007.
What is the prime number before 9996?
9973.
What are the factors of 9996?
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996.