Is 3059 a prime number?
No, 3059 is not a prime number. It is divisible by 7: 3059 = 7 × 437.
Is 3059 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 √3059 ≈ 55.31. If none of them divides 3059, it is prime.
- 3
7 divides 3059 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3059 = 7 \times 19 \times 23 \]
Testing 3059 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3059 ÷ 2 | leaves 1 |
| 3 | 3059 ÷ 3 | leaves 2 |
| 5 | 3059 ÷ 5 | leaves 4 |
| 7 | 3059 ÷ 7 | divides exactly (437) |
| 11 | 3059 ÷ 11 | leaves 1 |
| 13 | 3059 ÷ 13 | leaves 4 |
| 17 | 3059 ÷ 17 | leaves 16 |
| 19 | 3059 ÷ 19 | divides exactly (161) |
| 23 | 3059 ÷ 23 | divides exactly (133) |
| 29 | 3059 ÷ 29 | leaves 14 |
| 31 | 3059 ÷ 31 | leaves 21 |
| 37 | 3059 ÷ 37 | leaves 25 |
Questions
Is 3059 a prime number?
No, 3059 is not a prime number. It is divisible by 7: 3059 = 7 × 437.
What is the next prime after 3059?
3061.
What is the prime number before 3059?
3049.
What are the factors of 3059?
1, 7, 19, 23, 133, 161, 437, 3059.