Factors of 3504
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3504 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3504 ≈ 59.19; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 9176. Without 3504 itself that is 5672, so 3504 is an abundant number.
LaTeX source of the formulas on this page
\[ 3504 = 2^{4} \times 3 \times 73 \]Factor pairs of 3504
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3504 | 1 × 3504 = 3504 |
| 2 | 1752 | 2 × 1752 = 3504 |
| 3 | 1168 | 3 × 1168 = 3504 |
| 4 | 876 | 4 × 876 = 3504 |
| 6 | 584 | 6 × 584 = 3504 |
| 8 | 438 | 8 × 438 = 3504 |
| 12 | 292 | 12 × 292 = 3504 |
| 16 | 219 | 16 × 219 = 3504 |
| 24 | 146 | 24 × 146 = 3504 |
| 48 | 73 | 48 × 73 = 3504 |
Questions
What are the factors of 3504?
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504. It has 20 factors.
What are the prime factors of 3504?
2, 3, 73. As a product: × 3 × 73.
How many factors does 3504 have?
3504 has 20 factors (10 factor pairs).
What is the sum of the factors of 3504?
9176.
Is 3504 a prime number?
No. It is divisible by 2, so 3504 = 2 × 1752.