Factors of 2014
The factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2014 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2014 ≈ 44.88; 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 + 2 + 19 + 38 + 53 + 106 + 1007 + 2014 = 3240. Without 2014 itself that is 1226, so 2014 is a deficient number.
LaTeX source of the formulas on this page
\[ 2014 = 2 \times 19 \times 53 \]
Factor pairs of 2014
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2014 | 1 × 2014 = 2014 |
| 2 | 1007 | 2 × 1007 = 2014 |
| 19 | 106 | 19 × 106 = 2014 |
| 38 | 53 | 38 × 53 = 2014 |
Questions
What are the factors of 2014?
The factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014. It has 8 factors.
What are the prime factors of 2014?
2, 19, 53. As a product: 2 × 19 × 53.
How many factors does 2014 have?
2014 has 8 factors (4 factor pairs).
What is the sum of the factors of 2014?
3240.
Is 2014 a prime number?
No. It is divisible by 2, so 2014 = 2 × 1007.