Factors of 4080
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4080 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4080 ≈ 63.87; 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 13392. Without 4080 itself that is 9312, so 4080 is an abundant number.
LaTeX source of the formulas on this page
\[ 4080 = 2^{4} \times 3 \times 5 \times 17 \]Factor pairs of 4080
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4080 | 1 × 4080 = 4080 |
| 2 | 2040 | 2 × 2040 = 4080 |
| 3 | 1360 | 3 × 1360 = 4080 |
| 4 | 1020 | 4 × 1020 = 4080 |
| 5 | 816 | 5 × 816 = 4080 |
| 6 | 680 | 6 × 680 = 4080 |
| 8 | 510 | 8 × 510 = 4080 |
| 10 | 408 | 10 × 408 = 4080 |
| 12 | 340 | 12 × 340 = 4080 |
| 15 | 272 | 15 × 272 = 4080 |
| 16 | 255 | 16 × 255 = 4080 |
| 17 | 240 | 17 × 240 = 4080 |
| 20 | 204 | 20 × 204 = 4080 |
| 24 | 170 | 24 × 170 = 4080 |
| 30 | 136 | 30 × 136 = 4080 |
| 34 | 120 | 34 × 120 = 4080 |
| 40 | 102 | 40 × 102 = 4080 |
| 48 | 85 | 48 × 85 = 4080 |
| 51 | 80 | 51 × 80 = 4080 |
| 60 | 68 | 60 × 68 = 4080 |
Questions
What are the factors of 4080?
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080. It has 40 factors.
What are the prime factors of 4080?
2, 3, 5, 17. As a product: × 3 × 5 × 17.
How many factors does 4080 have?
4080 has 40 factors (20 factor pairs).
What is the sum of the factors of 4080?
13392.
Is 4080 a prime number?
No. It is divisible by 2, so 4080 = 2 × 2040.