Factors of 3120
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3120 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3120 ≈ 55.86; 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 10416. Without 3120 itself that is 7296, so 3120 is an abundant number.
LaTeX source of the formulas on this page
\[ 3120 = 2^{4} \times 3 \times 5 \times 13 \]Factor pairs of 3120
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3120 | 1 × 3120 = 3120 |
| 2 | 1560 | 2 × 1560 = 3120 |
| 3 | 1040 | 3 × 1040 = 3120 |
| 4 | 780 | 4 × 780 = 3120 |
| 5 | 624 | 5 × 624 = 3120 |
| 6 | 520 | 6 × 520 = 3120 |
| 8 | 390 | 8 × 390 = 3120 |
| 10 | 312 | 10 × 312 = 3120 |
| 12 | 260 | 12 × 260 = 3120 |
| 13 | 240 | 13 × 240 = 3120 |
| 15 | 208 | 15 × 208 = 3120 |
| 16 | 195 | 16 × 195 = 3120 |
| 20 | 156 | 20 × 156 = 3120 |
| 24 | 130 | 24 × 130 = 3120 |
| 26 | 120 | 26 × 120 = 3120 |
| 30 | 104 | 30 × 104 = 3120 |
| 39 | 80 | 39 × 80 = 3120 |
| 40 | 78 | 40 × 78 = 3120 |
| 48 | 65 | 48 × 65 = 3120 |
| 52 | 60 | 52 × 60 = 3120 |
Questions
What are the factors of 3120?
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120. It has 40 factors.
What are the prime factors of 3120?
2, 3, 5, 13. As a product: × 3 × 5 × 13.
How many factors does 3120 have?
3120 has 40 factors (20 factor pairs).
What is the sum of the factors of 3120?
10416.
Is 3120 a prime number?
No. It is divisible by 2, so 3120 = 2 × 1560.