Factors of 6960
The factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6960 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6960 ≈ 83.43; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 22320. Without 6960 itself that is 15360, so 6960 is an abundant number.
LaTeX source of the formulas on this page
\[ 6960 = 2^{4} \times 3 \times 5 \times 29 \]Factor pairs of 6960
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6960 | 1 × 6960 = 6960 |
| 2 | 3480 | 2 × 3480 = 6960 |
| 3 | 2320 | 3 × 2320 = 6960 |
| 4 | 1740 | 4 × 1740 = 6960 |
| 5 | 1392 | 5 × 1392 = 6960 |
| 6 | 1160 | 6 × 1160 = 6960 |
| 8 | 870 | 8 × 870 = 6960 |
| 10 | 696 | 10 × 696 = 6960 |
| 12 | 580 | 12 × 580 = 6960 |
| 15 | 464 | 15 × 464 = 6960 |
| 16 | 435 | 16 × 435 = 6960 |
| 20 | 348 | 20 × 348 = 6960 |
| 24 | 290 | 24 × 290 = 6960 |
| 29 | 240 | 29 × 240 = 6960 |
| 30 | 232 | 30 × 232 = 6960 |
| 40 | 174 | 40 × 174 = 6960 |
| 48 | 145 | 48 × 145 = 6960 |
| 58 | 120 | 58 × 120 = 6960 |
| 60 | 116 | 60 × 116 = 6960 |
| 80 | 87 | 80 × 87 = 6960 |
Questions
What are the factors of 6960?
The factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. It has 40 factors.
What are the prime factors of 6960?
2, 3, 5, 29. As a product: × 3 × 5 × 29.
How many factors does 6960 have?
6960 has 40 factors (20 factor pairs).
What is the sum of the factors of 6960?
22320.
Is 6960 a prime number?
No. It is divisible by 2, so 6960 = 2 × 3480.