Factors of 945
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 945 is a whole number that divides it with nothing left over. You only need to test the numbers up to √945 ≈ 30.74; 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 1920. Without 945 itself that is 975, so 945 is an abundant number.
LaTeX source of the formulas on this page
\[ 945 = 3^{3} \times 5 \times 7 \]Factor pairs of 945
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 945 | 1 × 945 = 945 |
| 3 | 315 | 3 × 315 = 945 |
| 5 | 189 | 5 × 189 = 945 |
| 7 | 135 | 7 × 135 = 945 |
| 9 | 105 | 9 × 105 = 945 |
| 15 | 63 | 15 × 63 = 945 |
| 21 | 45 | 21 × 45 = 945 |
| 27 | 35 | 27 × 35 = 945 |
Questions
What are the factors of 945?
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. It has 16 factors.
What are the prime factors of 945?
3, 5, 7. As a product: × 5 × 7.
How many factors does 945 have?
945 has 16 factors (8 factor pairs).
What is the sum of the factors of 945?
1920.
Is 945 a prime number?
No. It is divisible by 3, so 945 = 3 × 315.