Factors of 1560
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1560 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1560 ≈ 39.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 5040. Without 1560 itself that is 3480, so 1560 is an abundant number.
LaTeX source of the formulas on this page
\[ 1560 = 2^{3} \times 3 \times 5 \times 13 \]Factor pairs of 1560
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1560 | 1 × 1560 = 1560 |
| 2 | 780 | 2 × 780 = 1560 |
| 3 | 520 | 3 × 520 = 1560 |
| 4 | 390 | 4 × 390 = 1560 |
| 5 | 312 | 5 × 312 = 1560 |
| 6 | 260 | 6 × 260 = 1560 |
| 8 | 195 | 8 × 195 = 1560 |
| 10 | 156 | 10 × 156 = 1560 |
| 12 | 130 | 12 × 130 = 1560 |
| 13 | 120 | 13 × 120 = 1560 |
| 15 | 104 | 15 × 104 = 1560 |
| 20 | 78 | 20 × 78 = 1560 |
| 24 | 65 | 24 × 65 = 1560 |
| 26 | 60 | 26 × 60 = 1560 |
| 30 | 52 | 30 × 52 = 1560 |
| 39 | 40 | 39 × 40 = 1560 |
Questions
What are the factors of 1560?
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. It has 32 factors.
What are the prime factors of 1560?
2, 3, 5, 13. As a product: × 3 × 5 × 13.
How many factors does 1560 have?
1560 has 32 factors (16 factor pairs).
What is the sum of the factors of 1560?
5040.
Is 1560 a prime number?
No. It is divisible by 2, so 1560 = 2 × 780.