Factors of 9009
The factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9009 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9009 ≈ 94.92; 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 17472. Without 9009 itself that is 8463, so 9009 is a deficient number.
LaTeX source of the formulas on this page
\[ 9009 = 3^{2} \times 7 \times 11 \times 13 \]Factor pairs of 9009
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9009 | 1 × 9009 = 9009 |
| 3 | 3003 | 3 × 3003 = 9009 |
| 7 | 1287 | 7 × 1287 = 9009 |
| 9 | 1001 | 9 × 1001 = 9009 |
| 11 | 819 | 11 × 819 = 9009 |
| 13 | 693 | 13 × 693 = 9009 |
| 21 | 429 | 21 × 429 = 9009 |
| 33 | 273 | 33 × 273 = 9009 |
| 39 | 231 | 39 × 231 = 9009 |
| 63 | 143 | 63 × 143 = 9009 |
| 77 | 117 | 77 × 117 = 9009 |
| 91 | 99 | 91 × 99 = 9009 |
Questions
What are the factors of 9009?
The factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009. It has 24 factors.
What are the prime factors of 9009?
3, 7, 11, 13. As a product: × 7 × 11 × 13.
How many factors does 9009 have?
9009 has 24 factors (12 factor pairs).
What is the sum of the factors of 9009?
17472.
Is 9009 a prime number?
No. It is divisible by 3, so 9009 = 3 × 3003.