Is 3013 a prime number?
No, 3013 is not a prime number. It is divisible by 23: 3013 = 23 × 131.
Is 3013 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 √3013 ≈ 54.89. If none of them divides 3013, it is prime.
- 3
23 divides 3013 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3013 = 23 \times 131 \]
Testing 3013 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3013 ÷ 2 | leaves 1 |
| 3 | 3013 ÷ 3 | leaves 1 |
| 5 | 3013 ÷ 5 | leaves 3 |
| 7 | 3013 ÷ 7 | leaves 3 |
| 11 | 3013 ÷ 11 | leaves 10 |
| 13 | 3013 ÷ 13 | leaves 10 |
| 17 | 3013 ÷ 17 | leaves 4 |
| 19 | 3013 ÷ 19 | leaves 11 |
| 23 | 3013 ÷ 23 | divides exactly (131) |
| 29 | 3013 ÷ 29 | leaves 26 |
| 31 | 3013 ÷ 31 | leaves 6 |
| 37 | 3013 ÷ 37 | leaves 16 |
Questions
Is 3013 a prime number?
No, 3013 is not a prime number. It is divisible by 23: 3013 = 23 × 131.
What is the next prime after 3013?
3019.
What is the prime number before 3013?
3011.
What are the factors of 3013?
1, 23, 131, 3013.