Is 2010 a prime number?
No, 2010 is not a prime number. It is divisible by 2: 2010 = 2 × 1005.
Is 2010 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 √2010 ≈ 44.83. If none of them divides 2010, it is prime.
- 3
2 divides 2010 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2010 = 2 \times 3 \times 5 \times 67 \]
Testing 2010 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2010 ÷ 2 | divides exactly (1005) |
| 3 | 2010 ÷ 3 | divides exactly (670) |
| 5 | 2010 ÷ 5 | divides exactly (402) |
| 7 | 2010 ÷ 7 | leaves 1 |
| 11 | 2010 ÷ 11 | leaves 8 |
| 13 | 2010 ÷ 13 | leaves 8 |
| 17 | 2010 ÷ 17 | leaves 4 |
| 19 | 2010 ÷ 19 | leaves 15 |
| 23 | 2010 ÷ 23 | leaves 9 |
| 29 | 2010 ÷ 29 | leaves 9 |
| 31 | 2010 ÷ 31 | leaves 26 |
| 37 | 2010 ÷ 37 | leaves 12 |
Questions
Is 2010 a prime number?
No, 2010 is not a prime number. It is divisible by 2: 2010 = 2 × 1005.
What is the next prime after 2010?
2011.
What is the prime number before 2010?
2003.
What are the factors of 2010?
1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010.