Factors of 7920
The factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920. It has 60 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7920 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7920 ≈ 88.99; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 60 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 29016. Without 7920 itself that is 21096, so 7920 is an abundant number.
LaTeX source of the formulas on this page
\[ 7920 = 2^{4} \times 3^{2} \times 5 \times 11 \]Factor pairs of 7920
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7920 | 1 × 7920 = 7920 |
| 2 | 3960 | 2 × 3960 = 7920 |
| 3 | 2640 | 3 × 2640 = 7920 |
| 4 | 1980 | 4 × 1980 = 7920 |
| 5 | 1584 | 5 × 1584 = 7920 |
| 6 | 1320 | 6 × 1320 = 7920 |
| 8 | 990 | 8 × 990 = 7920 |
| 9 | 880 | 9 × 880 = 7920 |
| 10 | 792 | 10 × 792 = 7920 |
| 11 | 720 | 11 × 720 = 7920 |
| 12 | 660 | 12 × 660 = 7920 |
| 15 | 528 | 15 × 528 = 7920 |
| 16 | 495 | 16 × 495 = 7920 |
| 18 | 440 | 18 × 440 = 7920 |
| 20 | 396 | 20 × 396 = 7920 |
| 22 | 360 | 22 × 360 = 7920 |
| 24 | 330 | 24 × 330 = 7920 |
| 30 | 264 | 30 × 264 = 7920 |
| 33 | 240 | 33 × 240 = 7920 |
| 36 | 220 | 36 × 220 = 7920 |
| 40 | 198 | 40 × 198 = 7920 |
| 44 | 180 | 44 × 180 = 7920 |
| 45 | 176 | 45 × 176 = 7920 |
| 48 | 165 | 48 × 165 = 7920 |
| 55 | 144 | 55 × 144 = 7920 |
| 60 | 132 | 60 × 132 = 7920 |
| 66 | 120 | 66 × 120 = 7920 |
| 72 | 110 | 72 × 110 = 7920 |
| 80 | 99 | 80 × 99 = 7920 |
| 88 | 90 | 88 × 90 = 7920 |
Questions
What are the factors of 7920?
The factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920. It has 60 factors.
What are the prime factors of 7920?
2, 3, 5, 11. As a product: × × 5 × 11.
How many factors does 7920 have?
7920 has 60 factors (30 factor pairs).
What is the sum of the factors of 7920?
29016.
Is 7920 a prime number?
No. It is divisible by 2, so 7920 = 2 × 3960.