Is 9984 a prime number?
No, 9984 is not a prime number. It is divisible by 2: 9984 = 2 × 4992.
Is 9984 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 √9984 ≈ 99.92. If none of them divides 9984, it is prime.
- 3
2 divides 9984 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9984 = 2^{8} \times 3 \times 13 \]Testing 9984 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9984 ÷ 2 | divides exactly (4992) |
| 3 | 9984 ÷ 3 | divides exactly (3328) |
| 5 | 9984 ÷ 5 | leaves 4 |
| 7 | 9984 ÷ 7 | leaves 2 |
| 11 | 9984 ÷ 11 | leaves 7 |
| 13 | 9984 ÷ 13 | divides exactly (768) |
| 17 | 9984 ÷ 17 | leaves 5 |
| 19 | 9984 ÷ 19 | leaves 9 |
| 23 | 9984 ÷ 23 | leaves 2 |
| 29 | 9984 ÷ 29 | leaves 8 |
| 31 | 9984 ÷ 31 | leaves 2 |
| 37 | 9984 ÷ 37 | leaves 31 |
Questions
Is 9984 a prime number?
No, 9984 is not a prime number. It is divisible by 2: 9984 = 2 × 4992.
What is the next prime after 9984?
10007.
What is the prime number before 9984?
9973.
What are the factors of 9984?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984.