Factors of 8004
The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8004 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8004 ≈ 89.47; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 20160. Without 8004 itself that is 12156, so 8004 is an abundant number.
LaTeX source of the formulas on this page
\[ 8004 = 2^{2} \times 3 \times 23 \times 29 \]Factor pairs of 8004
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8004 | 1 × 8004 = 8004 |
| 2 | 4002 | 2 × 4002 = 8004 |
| 3 | 2668 | 3 × 2668 = 8004 |
| 4 | 2001 | 4 × 2001 = 8004 |
| 6 | 1334 | 6 × 1334 = 8004 |
| 12 | 667 | 12 × 667 = 8004 |
| 23 | 348 | 23 × 348 = 8004 |
| 29 | 276 | 29 × 276 = 8004 |
| 46 | 174 | 46 × 174 = 8004 |
| 58 | 138 | 58 × 138 = 8004 |
| 69 | 116 | 69 × 116 = 8004 |
| 87 | 92 | 87 × 92 = 8004 |
Questions
What are the factors of 8004?
The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004. It has 24 factors.
What are the prime factors of 8004?
2, 3, 23, 29. As a product: × 3 × 23 × 29.
How many factors does 8004 have?
8004 has 24 factors (12 factor pairs).
What is the sum of the factors of 8004?
20160.
Is 8004 a prime number?
No. It is divisible by 2, so 8004 = 2 × 4002.