Factors of 2006
The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2006 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2006 ≈ 44.79; 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 + 17 + 34 + 59 + 118 + 1003 + 2006 = 3240. Without 2006 itself that is 1234, so 2006 is a deficient number.
LaTeX source of the formulas on this page
\[ 2006 = 2 \times 17 \times 59 \]
Factor pairs of 2006
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2006 | 1 × 2006 = 2006 |
| 2 | 1003 | 2 × 1003 = 2006 |
| 17 | 118 | 17 × 118 = 2006 |
| 34 | 59 | 34 × 59 = 2006 |
Questions
What are the factors of 2006?
The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006. It has 8 factors.
What are the prime factors of 2006?
2, 17, 59. As a product: 2 × 17 × 59.
How many factors does 2006 have?
2006 has 8 factors (4 factor pairs).
What is the sum of the factors of 2006?
3240.
Is 2006 a prime number?
No. It is divisible by 2, so 2006 = 2 × 1003.