Factors of 3006
The factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3006 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3006 ≈ 54.83; 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 + 6 + 9 + 18 + 167 + 334 + 501 + 1002 + 1503 + 3006 = 6552. Without 3006 itself that is 3546, so 3006 is an abundant number.
LaTeX source of the formulas on this page
\[ 3006 = 2 \times 3^{2} \times 167 \]Factor pairs of 3006
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3006 | 1 × 3006 = 3006 |
| 2 | 1503 | 2 × 1503 = 3006 |
| 3 | 1002 | 3 × 1002 = 3006 |
| 6 | 501 | 6 × 501 = 3006 |
| 9 | 334 | 9 × 334 = 3006 |
| 18 | 167 | 18 × 167 = 3006 |
Questions
What are the factors of 3006?
The factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006. It has 12 factors.
What are the prime factors of 3006?
2, 3, 167. As a product: 2 × × 167.
How many factors does 3006 have?
3006 has 12 factors (6 factor pairs).
What is the sum of the factors of 3006?
6552.
Is 3006 a prime number?
No. It is divisible by 2, so 3006 = 2 × 1503.