Is 9969 a prime number?
No, 9969 is not a prime number. It is divisible by 3: 9969 = 3 × 3323.
Is 9969 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 √9969 ≈ 99.84. If none of them divides 9969, it is prime.
- 3
3 divides 9969 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9969 = 3 \times 3323 \]
Testing 9969 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9969 ÷ 2 | leaves 1 |
| 3 | 9969 ÷ 3 | divides exactly (3323) |
| 5 | 9969 ÷ 5 | leaves 4 |
| 7 | 9969 ÷ 7 | leaves 1 |
| 11 | 9969 ÷ 11 | leaves 3 |
| 13 | 9969 ÷ 13 | leaves 11 |
| 17 | 9969 ÷ 17 | leaves 7 |
| 19 | 9969 ÷ 19 | leaves 13 |
| 23 | 9969 ÷ 23 | leaves 10 |
| 29 | 9969 ÷ 29 | leaves 22 |
| 31 | 9969 ÷ 31 | leaves 18 |
| 37 | 9969 ÷ 37 | leaves 16 |
Questions
Is 9969 a prime number?
No, 9969 is not a prime number. It is divisible by 3: 9969 = 3 × 3323.
What is the next prime after 9969?
9973.
What is the prime number before 9969?
9967.
What are the factors of 9969?
1, 3, 3323, 9969.