Factors of 9006
The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9006 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9006 ≈ 94.90; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 19200. Without 9006 itself that is 10194, so 9006 is an abundant number.
LaTeX source of the formulas on this page
\[ 9006 = 2 \times 3 \times 19 \times 79 \]
Factor pairs of 9006
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9006 | 1 × 9006 = 9006 |
| 2 | 4503 | 2 × 4503 = 9006 |
| 3 | 3002 | 3 × 3002 = 9006 |
| 6 | 1501 | 6 × 1501 = 9006 |
| 19 | 474 | 19 × 474 = 9006 |
| 38 | 237 | 38 × 237 = 9006 |
| 57 | 158 | 57 × 158 = 9006 |
| 79 | 114 | 79 × 114 = 9006 |
Questions
What are the factors of 9006?
The factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006. It has 16 factors.
What are the prime factors of 9006?
2, 3, 19, 79. As a product: 2 × 3 × 19 × 79.
How many factors does 9006 have?
9006 has 16 factors (8 factor pairs).
What is the sum of the factors of 9006?
19200.
Is 9006 a prime number?
No. It is divisible by 2, so 9006 = 2 × 4503.