Is 891 a prime number?
No, 891 is not a prime number. It is divisible by 3: 891 = 3 × 297.
Is 891 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 √891 ≈ 29.85. If none of them divides 891, it is prime.
- 3
3 divides 891 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 891 = 3^{4} \times 11 \]Testing 891 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 891 ÷ 2 | leaves 1 |
| 3 | 891 ÷ 3 | divides exactly (297) |
| 5 | 891 ÷ 5 | leaves 1 |
| 7 | 891 ÷ 7 | leaves 2 |
| 11 | 891 ÷ 11 | divides exactly (81) |
| 13 | 891 ÷ 13 | leaves 7 |
| 17 | 891 ÷ 17 | leaves 7 |
| 19 | 891 ÷ 19 | leaves 17 |
| 23 | 891 ÷ 23 | leaves 17 |
| 29 | 891 ÷ 29 | leaves 21 |
Questions
Is 891 a prime number?
No, 891 is not a prime number. It is divisible by 3: 891 = 3 × 297.
What is the next prime after 891?
907.
What is the prime number before 891?
887.
What are the factors of 891?
1, 3, 9, 11, 27, 33, 81, 99, 297, 891.