Factors of 8040
The factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8040 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8040 ≈ 89.67; 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 24480. Without 8040 itself that is 16440, so 8040 is an abundant number.
LaTeX source of the formulas on this page
\[ 8040 = 2^{3} \times 3 \times 5 \times 67 \]Factor pairs of 8040
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8040 | 1 × 8040 = 8040 |
| 2 | 4020 | 2 × 4020 = 8040 |
| 3 | 2680 | 3 × 2680 = 8040 |
| 4 | 2010 | 4 × 2010 = 8040 |
| 5 | 1608 | 5 × 1608 = 8040 |
| 6 | 1340 | 6 × 1340 = 8040 |
| 8 | 1005 | 8 × 1005 = 8040 |
| 10 | 804 | 10 × 804 = 8040 |
| 12 | 670 | 12 × 670 = 8040 |
| 15 | 536 | 15 × 536 = 8040 |
| 20 | 402 | 20 × 402 = 8040 |
| 24 | 335 | 24 × 335 = 8040 |
| 30 | 268 | 30 × 268 = 8040 |
| 40 | 201 | 40 × 201 = 8040 |
| 60 | 134 | 60 × 134 = 8040 |
| 67 | 120 | 67 × 120 = 8040 |
Questions
What are the factors of 8040?
The factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040. It has 32 factors.
What are the prime factors of 8040?
2, 3, 5, 67. As a product: × 3 × 5 × 67.
How many factors does 8040 have?
8040 has 32 factors (16 factor pairs).
What is the sum of the factors of 8040?
24480.
Is 8040 a prime number?
No. It is divisible by 2, so 8040 = 2 × 4020.