Factors of 1680
The factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1680 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1680 ≈ 40.99; 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 5952. Without 1680 itself that is 4272, so 1680 is an abundant number.
LaTeX source of the formulas on this page
\[ 1680 = 2^{4} \times 3 \times 5 \times 7 \]Factor pairs of 1680
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1680 | 1 × 1680 = 1680 |
| 2 | 840 | 2 × 840 = 1680 |
| 3 | 560 | 3 × 560 = 1680 |
| 4 | 420 | 4 × 420 = 1680 |
| 5 | 336 | 5 × 336 = 1680 |
| 6 | 280 | 6 × 280 = 1680 |
| 7 | 240 | 7 × 240 = 1680 |
| 8 | 210 | 8 × 210 = 1680 |
| 10 | 168 | 10 × 168 = 1680 |
| 12 | 140 | 12 × 140 = 1680 |
| 14 | 120 | 14 × 120 = 1680 |
| 15 | 112 | 15 × 112 = 1680 |
| 16 | 105 | 16 × 105 = 1680 |
| 20 | 84 | 20 × 84 = 1680 |
| 21 | 80 | 21 × 80 = 1680 |
| 24 | 70 | 24 × 70 = 1680 |
| 28 | 60 | 28 × 60 = 1680 |
| 30 | 56 | 30 × 56 = 1680 |
| 35 | 48 | 35 × 48 = 1680 |
| 40 | 42 | 40 × 42 = 1680 |
Questions
What are the factors of 1680?
The factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680. It has 40 factors.
What are the prime factors of 1680?
2, 3, 5, 7. As a product: × 3 × 5 × 7.
How many factors does 1680 have?
1680 has 40 factors (20 factor pairs).
What is the sum of the factors of 1680?
5952.
Is 1680 a prime number?
No. It is divisible by 2, so 1680 = 2 × 840.