Factors of 2004
The factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2004 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2004 ≈ 44.77; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 3 + 4 + 6 + 12 + 167 + 334 + 501 + 668 + 1002 + 2004 = 4704. Without 2004 itself that is 2700, so 2004 is an abundant number.
LaTeX source of the formulas on this page
\[ 2004 = 2^{2} \times 3 \times 167 \]Factor pairs of 2004
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2004 | 1 × 2004 = 2004 |
| 2 | 1002 | 2 × 1002 = 2004 |
| 3 | 668 | 3 × 668 = 2004 |
| 4 | 501 | 4 × 501 = 2004 |
| 6 | 334 | 6 × 334 = 2004 |
| 12 | 167 | 12 × 167 = 2004 |
Questions
What are the factors of 2004?
The factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004. It has 12 factors.
What are the prime factors of 2004?
2, 3, 167. As a product: × 3 × 167.
How many factors does 2004 have?
2004 has 12 factors (6 factor pairs).
What is the sum of the factors of 2004?
4704.
Is 2004 a prime number?
No. It is divisible by 2, so 2004 = 2 × 1002.