Factors of 1170
The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1170 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1170 ≈ 34.21; 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 3276. Without 1170 itself that is 2106, so 1170 is an abundant number.
LaTeX source of the formulas on this page
\[ 1170 = 2 \times 3^{2} \times 5 \times 13 \]Factor pairs of 1170
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1170 | 1 × 1170 = 1170 |
| 2 | 585 | 2 × 585 = 1170 |
| 3 | 390 | 3 × 390 = 1170 |
| 5 | 234 | 5 × 234 = 1170 |
| 6 | 195 | 6 × 195 = 1170 |
| 9 | 130 | 9 × 130 = 1170 |
| 10 | 117 | 10 × 117 = 1170 |
| 13 | 90 | 13 × 90 = 1170 |
| 15 | 78 | 15 × 78 = 1170 |
| 18 | 65 | 18 × 65 = 1170 |
| 26 | 45 | 26 × 45 = 1170 |
| 30 | 39 | 30 × 39 = 1170 |
Questions
What are the factors of 1170?
The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170. It has 24 factors.
What are the prime factors of 1170?
2, 3, 5, 13. As a product: 2 × × 5 × 13.
How many factors does 1170 have?
1170 has 24 factors (12 factor pairs).
What is the sum of the factors of 1170?
3276.
Is 1170 a prime number?
No. It is divisible by 2, so 1170 = 2 × 585.