Is 1271 a prime number?
No, 1271 is not a prime number. It is divisible by 31: 1271 = 31 × 41.
Is 1271 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 √1271 ≈ 35.65. If none of them divides 1271, it is prime.
- 3
31 divides 1271 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1271 = 31 \times 41 \]
Testing 1271 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1271 ÷ 2 | leaves 1 |
| 3 | 1271 ÷ 3 | leaves 2 |
| 5 | 1271 ÷ 5 | leaves 1 |
| 7 | 1271 ÷ 7 | leaves 4 |
| 11 | 1271 ÷ 11 | leaves 6 |
| 13 | 1271 ÷ 13 | leaves 10 |
| 17 | 1271 ÷ 17 | leaves 13 |
| 19 | 1271 ÷ 19 | leaves 17 |
| 23 | 1271 ÷ 23 | leaves 6 |
| 29 | 1271 ÷ 29 | leaves 24 |
| 31 | 1271 ÷ 31 | divides exactly (41) |
Questions
Is 1271 a prime number?
No, 1271 is not a prime number. It is divisible by 31: 1271 = 31 × 41.
What is the next prime after 1271?
1277.
What is the prime number before 1271?
1259.
What are the factors of 1271?
1, 31, 41, 1271.