Factors of 7980
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7980 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7980 ≈ 89.33; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 26880. Without 7980 itself that is 18900, so 7980 is an abundant number.
LaTeX source of the formulas on this page
\[ 7980 = 2^{2} \times 3 \times 5 \times 7 \times 19 \]Factor pairs of 7980
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7980 | 1 × 7980 = 7980 |
| 2 | 3990 | 2 × 3990 = 7980 |
| 3 | 2660 | 3 × 2660 = 7980 |
| 4 | 1995 | 4 × 1995 = 7980 |
| 5 | 1596 | 5 × 1596 = 7980 |
| 6 | 1330 | 6 × 1330 = 7980 |
| 7 | 1140 | 7 × 1140 = 7980 |
| 10 | 798 | 10 × 798 = 7980 |
| 12 | 665 | 12 × 665 = 7980 |
| 14 | 570 | 14 × 570 = 7980 |
| 15 | 532 | 15 × 532 = 7980 |
| 19 | 420 | 19 × 420 = 7980 |
| 20 | 399 | 20 × 399 = 7980 |
| 21 | 380 | 21 × 380 = 7980 |
| 28 | 285 | 28 × 285 = 7980 |
| 30 | 266 | 30 × 266 = 7980 |
| 35 | 228 | 35 × 228 = 7980 |
| 38 | 210 | 38 × 210 = 7980 |
| 42 | 190 | 42 × 190 = 7980 |
| 57 | 140 | 57 × 140 = 7980 |
| 60 | 133 | 60 × 133 = 7980 |
| 70 | 114 | 70 × 114 = 7980 |
| 76 | 105 | 76 × 105 = 7980 |
| 84 | 95 | 84 × 95 = 7980 |
Questions
What are the factors of 7980?
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980. It has 48 factors.
What are the prime factors of 7980?
2, 3, 5, 7, 19. As a product: × 3 × 5 × 7 × 19.
How many factors does 7980 have?
7980 has 48 factors (24 factor pairs).
What is the sum of the factors of 7980?
26880.
Is 7980 a prime number?
No. It is divisible by 2, so 7980 = 2 × 3990.