Factors of 3920
The factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3920 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3920 ≈ 62.61; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10602. Without 3920 itself that is 6682, so 3920 is an abundant number.
LaTeX source of the formulas on this page
\[ 3920 = 2^{4} \times 5 \times 7^{2} \]Factor pairs of 3920
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3920 | 1 × 3920 = 3920 |
| 2 | 1960 | 2 × 1960 = 3920 |
| 4 | 980 | 4 × 980 = 3920 |
| 5 | 784 | 5 × 784 = 3920 |
| 7 | 560 | 7 × 560 = 3920 |
| 8 | 490 | 8 × 490 = 3920 |
| 10 | 392 | 10 × 392 = 3920 |
| 14 | 280 | 14 × 280 = 3920 |
| 16 | 245 | 16 × 245 = 3920 |
| 20 | 196 | 20 × 196 = 3920 |
| 28 | 140 | 28 × 140 = 3920 |
| 35 | 112 | 35 × 112 = 3920 |
| 40 | 98 | 40 × 98 = 3920 |
| 49 | 80 | 49 × 80 = 3920 |
| 56 | 70 | 56 × 70 = 3920 |
Questions
What are the factors of 3920?
The factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920. It has 30 factors.
What are the prime factors of 3920?
2, 5, 7. As a product: × 5 × .
How many factors does 3920 have?
3920 has 30 factors (15 factor pairs).
What is the sum of the factors of 3920?
10602.
Is 3920 a prime number?
No. It is divisible by 2, so 3920 = 2 × 1960.