Is 9963 a prime number?
No, 9963 is not a prime number. It is divisible by 3: 9963 = 3 × 3321.
Is 9963 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 √9963 ≈ 99.81. If none of them divides 9963, it is prime.
- 3
3 divides 9963 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9963 = 3^{5} \times 41 \]Testing 9963 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9963 ÷ 2 | leaves 1 |
| 3 | 9963 ÷ 3 | divides exactly (3321) |
| 5 | 9963 ÷ 5 | leaves 3 |
| 7 | 9963 ÷ 7 | leaves 2 |
| 11 | 9963 ÷ 11 | leaves 8 |
| 13 | 9963 ÷ 13 | leaves 5 |
| 17 | 9963 ÷ 17 | leaves 1 |
| 19 | 9963 ÷ 19 | leaves 7 |
| 23 | 9963 ÷ 23 | leaves 4 |
| 29 | 9963 ÷ 29 | leaves 16 |
| 31 | 9963 ÷ 31 | leaves 12 |
| 37 | 9963 ÷ 37 | leaves 10 |
Questions
Is 9963 a prime number?
No, 9963 is not a prime number. It is divisible by 3: 9963 = 3 × 3321.
What is the next prime after 9963?
9967.
What is the prime number before 9963?
9949.
What are the factors of 9963?
1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963.