Factors of 9945
The factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9945 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9945 ≈ 99.72; 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 19656. Without 9945 itself that is 9711, so 9945 is a deficient number.
LaTeX source of the formulas on this page
\[ 9945 = 3^{2} \times 5 \times 13 \times 17 \]Factor pairs of 9945
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9945 | 1 × 9945 = 9945 |
| 3 | 3315 | 3 × 3315 = 9945 |
| 5 | 1989 | 5 × 1989 = 9945 |
| 9 | 1105 | 9 × 1105 = 9945 |
| 13 | 765 | 13 × 765 = 9945 |
| 15 | 663 | 15 × 663 = 9945 |
| 17 | 585 | 17 × 585 = 9945 |
| 39 | 255 | 39 × 255 = 9945 |
| 45 | 221 | 45 × 221 = 9945 |
| 51 | 195 | 51 × 195 = 9945 |
| 65 | 153 | 65 × 153 = 9945 |
| 85 | 117 | 85 × 117 = 9945 |
Questions
What are the factors of 9945?
The factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945. It has 24 factors.
What are the prime factors of 9945?
3, 5, 13, 17. As a product: × 5 × 13 × 17.
How many factors does 9945 have?
9945 has 24 factors (12 factor pairs).
What is the sum of the factors of 9945?
19656.
Is 9945 a prime number?
No. It is divisible by 3, so 9945 = 3 × 3315.