Is 871 a prime number?
No, 871 is not a prime number. It is divisible by 13: 871 = 13 × 67.
Is 871 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 √871 ≈ 29.51. If none of them divides 871, it is prime.
- 3
13 divides 871 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 871 = 13 \times 67 \]
Testing 871 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 871 ÷ 2 | leaves 1 |
| 3 | 871 ÷ 3 | leaves 1 |
| 5 | 871 ÷ 5 | leaves 1 |
| 7 | 871 ÷ 7 | leaves 3 |
| 11 | 871 ÷ 11 | leaves 2 |
| 13 | 871 ÷ 13 | divides exactly (67) |
| 17 | 871 ÷ 17 | leaves 4 |
| 19 | 871 ÷ 19 | leaves 16 |
| 23 | 871 ÷ 23 | leaves 20 |
| 29 | 871 ÷ 29 | leaves 1 |
Questions
Is 871 a prime number?
No, 871 is not a prime number. It is divisible by 13: 871 = 13 × 67.
What is the next prime after 871?
877.
What is the prime number before 871?
863.
What are the factors of 871?
1, 13, 67, 871.