Factors of 7140
The factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7140 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7140 ≈ 84.50; 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 24192. Without 7140 itself that is 17052, so 7140 is an abundant number.
LaTeX source of the formulas on this page
\[ 7140 = 2^{2} \times 3 \times 5 \times 7 \times 17 \]Factor pairs of 7140
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7140 | 1 × 7140 = 7140 |
| 2 | 3570 | 2 × 3570 = 7140 |
| 3 | 2380 | 3 × 2380 = 7140 |
| 4 | 1785 | 4 × 1785 = 7140 |
| 5 | 1428 | 5 × 1428 = 7140 |
| 6 | 1190 | 6 × 1190 = 7140 |
| 7 | 1020 | 7 × 1020 = 7140 |
| 10 | 714 | 10 × 714 = 7140 |
| 12 | 595 | 12 × 595 = 7140 |
| 14 | 510 | 14 × 510 = 7140 |
| 15 | 476 | 15 × 476 = 7140 |
| 17 | 420 | 17 × 420 = 7140 |
| 20 | 357 | 20 × 357 = 7140 |
| 21 | 340 | 21 × 340 = 7140 |
| 28 | 255 | 28 × 255 = 7140 |
| 30 | 238 | 30 × 238 = 7140 |
| 34 | 210 | 34 × 210 = 7140 |
| 35 | 204 | 35 × 204 = 7140 |
| 42 | 170 | 42 × 170 = 7140 |
| 51 | 140 | 51 × 140 = 7140 |
| 60 | 119 | 60 × 119 = 7140 |
| 68 | 105 | 68 × 105 = 7140 |
| 70 | 102 | 70 × 102 = 7140 |
| 84 | 85 | 84 × 85 = 7140 |
Questions
What are the factors of 7140?
The factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140. It has 48 factors.
What are the prime factors of 7140?
2, 3, 5, 7, 17. As a product: × 3 × 5 × 7 × 17.
How many factors does 7140 have?
7140 has 48 factors (24 factor pairs).
What is the sum of the factors of 7140?
24192.
Is 7140 a prime number?
No. It is divisible by 2, so 7140 = 2 × 3570.