Factors of 2240
The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2240 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2240 ≈ 47.33; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 6096. Without 2240 itself that is 3856, so 2240 is an abundant number.
LaTeX source of the formulas on this page
\[ 2240 = 2^{6} \times 5 \times 7 \]Factor pairs of 2240
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2240 | 1 × 2240 = 2240 |
| 2 | 1120 | 2 × 1120 = 2240 |
| 4 | 560 | 4 × 560 = 2240 |
| 5 | 448 | 5 × 448 = 2240 |
| 7 | 320 | 7 × 320 = 2240 |
| 8 | 280 | 8 × 280 = 2240 |
| 10 | 224 | 10 × 224 = 2240 |
| 14 | 160 | 14 × 160 = 2240 |
| 16 | 140 | 16 × 140 = 2240 |
| 20 | 112 | 20 × 112 = 2240 |
| 28 | 80 | 28 × 80 = 2240 |
| 32 | 70 | 32 × 70 = 2240 |
| 35 | 64 | 35 × 64 = 2240 |
| 40 | 56 | 40 × 56 = 2240 |
Questions
What are the factors of 2240?
The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240. It has 28 factors.
What are the prime factors of 2240?
2, 5, 7. As a product: × 5 × 7.
How many factors does 2240 have?
2240 has 28 factors (14 factor pairs).
What is the sum of the factors of 2240?
6096.
Is 2240 a prime number?
No. It is divisible by 2, so 2240 = 2 × 1120.