Factors of 3480
The factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3480 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3480 ≈ 58.99; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10800. Without 3480 itself that is 7320, so 3480 is an abundant number.
LaTeX source of the formulas on this page
\[ 3480 = 2^{3} \times 3 \times 5 \times 29 \]Factor pairs of 3480
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3480 | 1 × 3480 = 3480 |
| 2 | 1740 | 2 × 1740 = 3480 |
| 3 | 1160 | 3 × 1160 = 3480 |
| 4 | 870 | 4 × 870 = 3480 |
| 5 | 696 | 5 × 696 = 3480 |
| 6 | 580 | 6 × 580 = 3480 |
| 8 | 435 | 8 × 435 = 3480 |
| 10 | 348 | 10 × 348 = 3480 |
| 12 | 290 | 12 × 290 = 3480 |
| 15 | 232 | 15 × 232 = 3480 |
| 20 | 174 | 20 × 174 = 3480 |
| 24 | 145 | 24 × 145 = 3480 |
| 29 | 120 | 29 × 120 = 3480 |
| 30 | 116 | 30 × 116 = 3480 |
| 40 | 87 | 40 × 87 = 3480 |
| 58 | 60 | 58 × 60 = 3480 |
Questions
What are the factors of 3480?
The factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480. It has 32 factors.
What are the prime factors of 3480?
2, 3, 5, 29. As a product: × 3 × 5 × 29.
How many factors does 3480 have?
3480 has 32 factors (16 factor pairs).
What is the sum of the factors of 3480?
10800.
Is 3480 a prime number?
No. It is divisible by 2, so 3480 = 2 × 1740.