Is 2012 a prime number?
No, 2012 is not a prime number. It is divisible by 2: 2012 = 2 × 1006.
Is 2012 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 √2012 ≈ 44.86. If none of them divides 2012, it is prime.
- 3
2 divides 2012 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2012 = 2^{2} \times 503 \]Testing 2012 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2012 ÷ 2 | divides exactly (1006) |
| 3 | 2012 ÷ 3 | leaves 2 |
| 5 | 2012 ÷ 5 | leaves 2 |
| 7 | 2012 ÷ 7 | leaves 3 |
| 11 | 2012 ÷ 11 | leaves 10 |
| 13 | 2012 ÷ 13 | leaves 10 |
| 17 | 2012 ÷ 17 | leaves 6 |
| 19 | 2012 ÷ 19 | leaves 17 |
| 23 | 2012 ÷ 23 | leaves 11 |
| 29 | 2012 ÷ 29 | leaves 11 |
| 31 | 2012 ÷ 31 | leaves 28 |
| 37 | 2012 ÷ 37 | leaves 14 |
Questions
Is 2012 a prime number?
No, 2012 is not a prime number. It is divisible by 2: 2012 = 2 × 1006.
What is the next prime after 2012?
2017.
What is the prime number before 2012?
2011.
What are the factors of 2012?
1, 2, 4, 503, 1006, 2012.