Factors of 8960
The factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8960 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8960 ≈ 94.66; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 24528. Without 8960 itself that is 15568, so 8960 is an abundant number.
LaTeX source of the formulas on this page
\[ 8960 = 2^{8} \times 5 \times 7 \]Factor pairs of 8960
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8960 | 1 × 8960 = 8960 |
| 2 | 4480 | 2 × 4480 = 8960 |
| 4 | 2240 | 4 × 2240 = 8960 |
| 5 | 1792 | 5 × 1792 = 8960 |
| 7 | 1280 | 7 × 1280 = 8960 |
| 8 | 1120 | 8 × 1120 = 8960 |
| 10 | 896 | 10 × 896 = 8960 |
| 14 | 640 | 14 × 640 = 8960 |
| 16 | 560 | 16 × 560 = 8960 |
| 20 | 448 | 20 × 448 = 8960 |
| 28 | 320 | 28 × 320 = 8960 |
| 32 | 280 | 32 × 280 = 8960 |
| 35 | 256 | 35 × 256 = 8960 |
| 40 | 224 | 40 × 224 = 8960 |
| 56 | 160 | 56 × 160 = 8960 |
| 64 | 140 | 64 × 140 = 8960 |
| 70 | 128 | 70 × 128 = 8960 |
| 80 | 112 | 80 × 112 = 8960 |
Questions
What are the factors of 8960?
The factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960. It has 36 factors.
What are the prime factors of 8960?
2, 5, 7. As a product: × 5 × 7.
How many factors does 8960 have?
8960 has 36 factors (18 factor pairs).
What is the sum of the factors of 8960?
24528.
Is 8960 a prime number?
No. It is divisible by 2, so 8960 = 2 × 4480.