Factors of 3960
The factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3960 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3960 ≈ 62.93; 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 14040. Without 3960 itself that is 10080, so 3960 is an abundant number.
LaTeX source of the formulas on this page
\[ 3960 = 2^{3} \times 3^{2} \times 5 \times 11 \]Factor pairs of 3960
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3960 | 1 × 3960 = 3960 |
| 2 | 1980 | 2 × 1980 = 3960 |
| 3 | 1320 | 3 × 1320 = 3960 |
| 4 | 990 | 4 × 990 = 3960 |
| 5 | 792 | 5 × 792 = 3960 |
| 6 | 660 | 6 × 660 = 3960 |
| 8 | 495 | 8 × 495 = 3960 |
| 9 | 440 | 9 × 440 = 3960 |
| 10 | 396 | 10 × 396 = 3960 |
| 11 | 360 | 11 × 360 = 3960 |
| 12 | 330 | 12 × 330 = 3960 |
| 15 | 264 | 15 × 264 = 3960 |
| 18 | 220 | 18 × 220 = 3960 |
| 20 | 198 | 20 × 198 = 3960 |
| 22 | 180 | 22 × 180 = 3960 |
| 24 | 165 | 24 × 165 = 3960 |
| 30 | 132 | 30 × 132 = 3960 |
| 33 | 120 | 33 × 120 = 3960 |
| 36 | 110 | 36 × 110 = 3960 |
| 40 | 99 | 40 × 99 = 3960 |
| 44 | 90 | 44 × 90 = 3960 |
| 45 | 88 | 45 × 88 = 3960 |
| 55 | 72 | 55 × 72 = 3960 |
| 60 | 66 | 60 × 66 = 3960 |
Questions
What are the factors of 3960?
The factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. It has 48 factors.
What are the prime factors of 3960?
2, 3, 5, 11. As a product: × × 5 × 11.
How many factors does 3960 have?
3960 has 48 factors (24 factor pairs).
What is the sum of the factors of 3960?
14040.
Is 3960 a prime number?
No. It is divisible by 2, so 3960 = 2 × 1980.