Is 2959 a prime number?
No, 2959 is not a prime number. It is divisible by 11: 2959 = 11 × 269.
Is 2959 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 √2959 ≈ 54.40. If none of them divides 2959, it is prime.
- 3
11 divides 2959 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2959 = 11 \times 269 \]
Testing 2959 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2959 ÷ 2 | leaves 1 |
| 3 | 2959 ÷ 3 | leaves 1 |
| 5 | 2959 ÷ 5 | leaves 4 |
| 7 | 2959 ÷ 7 | leaves 5 |
| 11 | 2959 ÷ 11 | divides exactly (269) |
| 13 | 2959 ÷ 13 | leaves 8 |
| 17 | 2959 ÷ 17 | leaves 1 |
| 19 | 2959 ÷ 19 | leaves 14 |
| 23 | 2959 ÷ 23 | leaves 15 |
| 29 | 2959 ÷ 29 | leaves 1 |
| 31 | 2959 ÷ 31 | leaves 14 |
| 37 | 2959 ÷ 37 | leaves 36 |
Questions
Is 2959 a prime number?
No, 2959 is not a prime number. It is divisible by 11: 2959 = 11 × 269.
What is the next prime after 2959?
2963.
What is the prime number before 2959?
2957.
What are the factors of 2959?
1, 11, 269, 2959.