Is 3029 a prime number?
No, 3029 is not a prime number. It is divisible by 13: 3029 = 13 × 233.
Is 3029 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 √3029 ≈ 55.04. If none of them divides 3029, it is prime.
- 3
13 divides 3029 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3029 = 13 \times 233 \]
Testing 3029 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3029 ÷ 2 | leaves 1 |
| 3 | 3029 ÷ 3 | leaves 2 |
| 5 | 3029 ÷ 5 | leaves 4 |
| 7 | 3029 ÷ 7 | leaves 5 |
| 11 | 3029 ÷ 11 | leaves 4 |
| 13 | 3029 ÷ 13 | divides exactly (233) |
| 17 | 3029 ÷ 17 | leaves 3 |
| 19 | 3029 ÷ 19 | leaves 8 |
| 23 | 3029 ÷ 23 | leaves 16 |
| 29 | 3029 ÷ 29 | leaves 13 |
| 31 | 3029 ÷ 31 | leaves 22 |
| 37 | 3029 ÷ 37 | leaves 32 |
Questions
Is 3029 a prime number?
No, 3029 is not a prime number. It is divisible by 13: 3029 = 13 × 233.
What is the next prime after 3029?
3037.
What is the prime number before 3029?
3023.
What are the factors of 3029?
1, 13, 233, 3029.