Is 867 a prime number?
No, 867 is not a prime number. It is divisible by 3: 867 = 3 × 289.
Is 867 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 √867 ≈ 29.44. If none of them divides 867, it is prime.
- 3
3 divides 867 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 867 = 3 \times 17^{2} \]Testing 867 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 867 ÷ 2 | leaves 1 |
| 3 | 867 ÷ 3 | divides exactly (289) |
| 5 | 867 ÷ 5 | leaves 2 |
| 7 | 867 ÷ 7 | leaves 6 |
| 11 | 867 ÷ 11 | leaves 9 |
| 13 | 867 ÷ 13 | leaves 9 |
| 17 | 867 ÷ 17 | divides exactly (51) |
| 19 | 867 ÷ 19 | leaves 12 |
| 23 | 867 ÷ 23 | leaves 16 |
| 29 | 867 ÷ 29 | leaves 26 |
Questions
Is 867 a prime number?
No, 867 is not a prime number. It is divisible by 3: 867 = 3 × 289.
What is the next prime after 867?
877.
What is the prime number before 867?
863.
What are the factors of 867?
1, 3, 17, 51, 289, 867.