Is 9867 a prime number?
No, 9867 is not a prime number. It is divisible by 3: 9867 = 3 × 3289.
Is 9867 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 √9867 ≈ 99.33. If none of them divides 9867, it is prime.
- 3
3 divides 9867 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9867 = 3 \times 11 \times 13 \times 23 \]
Testing 9867 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9867 ÷ 2 | leaves 1 |
| 3 | 9867 ÷ 3 | divides exactly (3289) |
| 5 | 9867 ÷ 5 | leaves 2 |
| 7 | 9867 ÷ 7 | leaves 4 |
| 11 | 9867 ÷ 11 | divides exactly (897) |
| 13 | 9867 ÷ 13 | divides exactly (759) |
| 17 | 9867 ÷ 17 | leaves 7 |
| 19 | 9867 ÷ 19 | leaves 6 |
| 23 | 9867 ÷ 23 | divides exactly (429) |
| 29 | 9867 ÷ 29 | leaves 7 |
| 31 | 9867 ÷ 31 | leaves 9 |
| 37 | 9867 ÷ 37 | leaves 25 |
Questions
Is 9867 a prime number?
No, 9867 is not a prime number. It is divisible by 3: 9867 = 3 × 3289.
What is the next prime after 9867?
9871.
What is the prime number before 9867?
9859.
What are the factors of 9867?
1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867.