Is 2013 a prime number?
No, 2013 is not a prime number. It is divisible by 3: 2013 = 3 × 671.
Is 2013 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 √2013 ≈ 44.87. If none of them divides 2013, it is prime.
- 3
3 divides 2013 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2013 = 3 \times 11 \times 61 \]
Testing 2013 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2013 ÷ 2 | leaves 1 |
| 3 | 2013 ÷ 3 | divides exactly (671) |
| 5 | 2013 ÷ 5 | leaves 3 |
| 7 | 2013 ÷ 7 | leaves 4 |
| 11 | 2013 ÷ 11 | divides exactly (183) |
| 13 | 2013 ÷ 13 | leaves 11 |
| 17 | 2013 ÷ 17 | leaves 7 |
| 19 | 2013 ÷ 19 | leaves 18 |
| 23 | 2013 ÷ 23 | leaves 12 |
| 29 | 2013 ÷ 29 | leaves 12 |
| 31 | 2013 ÷ 31 | leaves 29 |
| 37 | 2013 ÷ 37 | leaves 15 |
Questions
Is 2013 a prime number?
No, 2013 is not a prime number. It is divisible by 3: 2013 = 3 × 671.
What is the next prime after 2013?
2017.
What is the prime number before 2013?
2011.
What are the factors of 2013?
1, 3, 11, 33, 61, 183, 671, 2013.