Factors of 6006
The factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6006 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6006 ≈ 77.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 16128. Without 6006 itself that is 10122, so 6006 is an abundant number.
LaTeX source of the formulas on this page
\[ 6006 = 2 \times 3 \times 7 \times 11 \times 13 \]
Factor pairs of 6006
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6006 | 1 × 6006 = 6006 |
| 2 | 3003 | 2 × 3003 = 6006 |
| 3 | 2002 | 3 × 2002 = 6006 |
| 6 | 1001 | 6 × 1001 = 6006 |
| 7 | 858 | 7 × 858 = 6006 |
| 11 | 546 | 11 × 546 = 6006 |
| 13 | 462 | 13 × 462 = 6006 |
| 14 | 429 | 14 × 429 = 6006 |
| 21 | 286 | 21 × 286 = 6006 |
| 22 | 273 | 22 × 273 = 6006 |
| 26 | 231 | 26 × 231 = 6006 |
| 33 | 182 | 33 × 182 = 6006 |
| 39 | 154 | 39 × 154 = 6006 |
| 42 | 143 | 42 × 143 = 6006 |
| 66 | 91 | 66 × 91 = 6006 |
| 77 | 78 | 77 × 78 = 6006 |
Questions
What are the factors of 6006?
The factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. It has 32 factors.
What are the prime factors of 6006?
2, 3, 7, 11, 13. As a product: 2 × 3 × 7 × 11 × 13.
How many factors does 6006 have?
6006 has 32 factors (16 factor pairs).
What is the sum of the factors of 6006?
16128.
Is 6006 a prime number?
No. It is divisible by 2, so 6006 = 2 × 3003.