Is 9904 a prime number?
No, 9904 is not a prime number. It is divisible by 2: 9904 = 2 × 4952.
Is 9904 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 √9904 ≈ 99.52. If none of them divides 9904, it is prime.
- 3
2 divides 9904 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9904 = 2^{4} \times 619 \]Testing 9904 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9904 ÷ 2 | divides exactly (4952) |
| 3 | 9904 ÷ 3 | leaves 1 |
| 5 | 9904 ÷ 5 | leaves 4 |
| 7 | 9904 ÷ 7 | leaves 6 |
| 11 | 9904 ÷ 11 | leaves 4 |
| 13 | 9904 ÷ 13 | leaves 11 |
| 17 | 9904 ÷ 17 | leaves 10 |
| 19 | 9904 ÷ 19 | leaves 5 |
| 23 | 9904 ÷ 23 | leaves 14 |
| 29 | 9904 ÷ 29 | leaves 15 |
| 31 | 9904 ÷ 31 | leaves 15 |
| 37 | 9904 ÷ 37 | leaves 25 |
Questions
Is 9904 a prime number?
No, 9904 is not a prime number. It is divisible by 2: 9904 = 2 × 4952.
What is the next prime after 9904?
9907.
What is the prime number before 9904?
9901.
What are the factors of 9904?
1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904.