Is 9964 a prime number?
No, 9964 is not a prime number. It is divisible by 2: 9964 = 2 × 4982.
Is 9964 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 √9964 ≈ 99.82. If none of them divides 9964, it is prime.
- 3
2 divides 9964 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9964 = 2^{2} \times 47 \times 53 \]Testing 9964 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9964 ÷ 2 | divides exactly (4982) |
| 3 | 9964 ÷ 3 | leaves 1 |
| 5 | 9964 ÷ 5 | leaves 4 |
| 7 | 9964 ÷ 7 | leaves 3 |
| 11 | 9964 ÷ 11 | leaves 9 |
| 13 | 9964 ÷ 13 | leaves 6 |
| 17 | 9964 ÷ 17 | leaves 2 |
| 19 | 9964 ÷ 19 | leaves 8 |
| 23 | 9964 ÷ 23 | leaves 5 |
| 29 | 9964 ÷ 29 | leaves 17 |
| 31 | 9964 ÷ 31 | leaves 13 |
| 37 | 9964 ÷ 37 | leaves 11 |
Questions
Is 9964 a prime number?
No, 9964 is not a prime number. It is divisible by 2: 9964 = 2 × 4982.
What is the next prime after 9964?
9967.
What is the prime number before 9964?
9949.
What are the factors of 9964?
1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964.