Factors of 2013
The factors of 2013 are 1, 3, 11, 33, 61, 183, 671, 2013. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2013 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2013 ≈ 44.87; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 11 + 33 + 61 + 183 + 671 + 2013 = 2976. Without 2013 itself that is 963, so 2013 is a deficient number.
LaTeX source of the formulas on this page
\[ 2013 = 3 \times 11 \times 61 \]
Factor pairs of 2013
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2013 | 1 × 2013 = 2013 |
| 3 | 671 | 3 × 671 = 2013 |
| 11 | 183 | 11 × 183 = 2013 |
| 33 | 61 | 33 × 61 = 2013 |
Questions
What are the factors of 2013?
The factors of 2013 are 1, 3, 11, 33, 61, 183, 671, 2013. It has 8 factors.
What are the prime factors of 2013?
3, 11, 61. As a product: 3 × 11 × 61.
How many factors does 2013 have?
2013 has 8 factors (4 factor pairs).
What is the sum of the factors of 2013?
2976.
Is 2013 a prime number?
No. It is divisible by 3, so 2013 = 3 × 671.