Factors of 2010
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2010 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2010 ≈ 44.83; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 4896. Without 2010 itself that is 2886, so 2010 is an abundant number.
LaTeX source of the formulas on this page
\[ 2010 = 2 \times 3 \times 5 \times 67 \]
Factor pairs of 2010
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2010 | 1 × 2010 = 2010 |
| 2 | 1005 | 2 × 1005 = 2010 |
| 3 | 670 | 3 × 670 = 2010 |
| 5 | 402 | 5 × 402 = 2010 |
| 6 | 335 | 6 × 335 = 2010 |
| 10 | 201 | 10 × 201 = 2010 |
| 15 | 134 | 15 × 134 = 2010 |
| 30 | 67 | 30 × 67 = 2010 |
Questions
What are the factors of 2010?
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010. It has 16 factors.
What are the prime factors of 2010?
2, 3, 5, 67. As a product: 2 × 3 × 5 × 67.
How many factors does 2010 have?
2010 has 16 factors (8 factor pairs).
What is the sum of the factors of 2010?
4896.
Is 2010 a prime number?
No. It is divisible by 2, so 2010 = 2 × 1005.