Is 9804 a prime number?
No, 9804 is not a prime number. It is divisible by 2: 9804 = 2 × 4902.
Is 9804 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 √9804 ≈ 99.02. If none of them divides 9804, it is prime.
- 3
2 divides 9804 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9804 = 2^{2} \times 3 \times 19 \times 43 \]Testing 9804 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9804 ÷ 2 | divides exactly (4902) |
| 3 | 9804 ÷ 3 | divides exactly (3268) |
| 5 | 9804 ÷ 5 | leaves 4 |
| 7 | 9804 ÷ 7 | leaves 4 |
| 11 | 9804 ÷ 11 | leaves 3 |
| 13 | 9804 ÷ 13 | leaves 2 |
| 17 | 9804 ÷ 17 | leaves 12 |
| 19 | 9804 ÷ 19 | divides exactly (516) |
| 23 | 9804 ÷ 23 | leaves 6 |
| 29 | 9804 ÷ 29 | leaves 2 |
| 31 | 9804 ÷ 31 | leaves 8 |
| 37 | 9804 ÷ 37 | leaves 36 |
Questions
Is 9804 a prime number?
No, 9804 is not a prime number. It is divisible by 2: 9804 = 2 × 4902.
What is the next prime after 9804?
9811.
What is the prime number before 9804?
9803.
What are the factors of 9804?
1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804.