Is 2771 a prime number?
No, 2771 is not a prime number. It is divisible by 17: 2771 = 17 × 163.
Is 2771 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 √2771 ≈ 52.64. If none of them divides 2771, it is prime.
- 3
17 divides 2771 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2771 = 17 \times 163 \]
Testing 2771 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2771 ÷ 2 | leaves 1 |
| 3 | 2771 ÷ 3 | leaves 2 |
| 5 | 2771 ÷ 5 | leaves 1 |
| 7 | 2771 ÷ 7 | leaves 6 |
| 11 | 2771 ÷ 11 | leaves 10 |
| 13 | 2771 ÷ 13 | leaves 2 |
| 17 | 2771 ÷ 17 | divides exactly (163) |
| 19 | 2771 ÷ 19 | leaves 16 |
| 23 | 2771 ÷ 23 | leaves 11 |
| 29 | 2771 ÷ 29 | leaves 16 |
| 31 | 2771 ÷ 31 | leaves 12 |
| 37 | 2771 ÷ 37 | leaves 33 |
Questions
Is 2771 a prime number?
No, 2771 is not a prime number. It is divisible by 17: 2771 = 17 × 163.
What is the next prime after 2771?
2777.
What is the prime number before 2771?
2767.
What are the factors of 2771?
1, 17, 163, 2771.