Factors of 3640
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3640 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3640 ≈ 60.33; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10080. Without 3640 itself that is 6440, so 3640 is an abundant number.
LaTeX source of the formulas on this page
\[ 3640 = 2^{3} \times 5 \times 7 \times 13 \]Factor pairs of 3640
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3640 | 1 × 3640 = 3640 |
| 2 | 1820 | 2 × 1820 = 3640 |
| 4 | 910 | 4 × 910 = 3640 |
| 5 | 728 | 5 × 728 = 3640 |
| 7 | 520 | 7 × 520 = 3640 |
| 8 | 455 | 8 × 455 = 3640 |
| 10 | 364 | 10 × 364 = 3640 |
| 13 | 280 | 13 × 280 = 3640 |
| 14 | 260 | 14 × 260 = 3640 |
| 20 | 182 | 20 × 182 = 3640 |
| 26 | 140 | 26 × 140 = 3640 |
| 28 | 130 | 28 × 130 = 3640 |
| 35 | 104 | 35 × 104 = 3640 |
| 40 | 91 | 40 × 91 = 3640 |
| 52 | 70 | 52 × 70 = 3640 |
| 56 | 65 | 56 × 65 = 3640 |
Questions
What are the factors of 3640?
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640. It has 32 factors.
What are the prime factors of 3640?
2, 5, 7, 13. As a product: × 5 × 7 × 13.
How many factors does 3640 have?
3640 has 32 factors (16 factor pairs).
What is the sum of the factors of 3640?
10080.
Is 3640 a prime number?
No. It is divisible by 2, so 3640 = 2 × 1820.