Is 3073 a prime number?
No, 3073 is not a prime number. It is divisible by 7: 3073 = 7 × 439.
Is 3073 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 √3073 ≈ 55.43. If none of them divides 3073, it is prime.
- 3
7 divides 3073 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3073 = 7 \times 439 \]
Testing 3073 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3073 ÷ 2 | leaves 1 |
| 3 | 3073 ÷ 3 | leaves 1 |
| 5 | 3073 ÷ 5 | leaves 3 |
| 7 | 3073 ÷ 7 | divides exactly (439) |
| 11 | 3073 ÷ 11 | leaves 4 |
| 13 | 3073 ÷ 13 | leaves 5 |
| 17 | 3073 ÷ 17 | leaves 13 |
| 19 | 3073 ÷ 19 | leaves 14 |
| 23 | 3073 ÷ 23 | leaves 14 |
| 29 | 3073 ÷ 29 | leaves 28 |
| 31 | 3073 ÷ 31 | leaves 4 |
| 37 | 3073 ÷ 37 | leaves 2 |
Questions
Is 3073 a prime number?
No, 3073 is not a prime number. It is divisible by 7: 3073 = 7 × 439.
What is the next prime after 3073?
3079.
What is the prime number before 3073?
3067.
What are the factors of 3073?
1, 7, 439, 3073.