Factors of 3564
The factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3564 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3564 ≈ 59.70; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10164. Without 3564 itself that is 6600, so 3564 is an abundant number.
LaTeX source of the formulas on this page
\[ 3564 = 2^{2} \times 3^{4} \times 11 \]Factor pairs of 3564
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3564 | 1 × 3564 = 3564 |
| 2 | 1782 | 2 × 1782 = 3564 |
| 3 | 1188 | 3 × 1188 = 3564 |
| 4 | 891 | 4 × 891 = 3564 |
| 6 | 594 | 6 × 594 = 3564 |
| 9 | 396 | 9 × 396 = 3564 |
| 11 | 324 | 11 × 324 = 3564 |
| 12 | 297 | 12 × 297 = 3564 |
| 18 | 198 | 18 × 198 = 3564 |
| 22 | 162 | 22 × 162 = 3564 |
| 27 | 132 | 27 × 132 = 3564 |
| 33 | 108 | 33 × 108 = 3564 |
| 36 | 99 | 36 × 99 = 3564 |
| 44 | 81 | 44 × 81 = 3564 |
| 54 | 66 | 54 × 66 = 3564 |
Questions
What are the factors of 3564?
The factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564. It has 30 factors.
What are the prime factors of 3564?
2, 3, 11. As a product: × × 11.
How many factors does 3564 have?
3564 has 30 factors (15 factor pairs).
What is the sum of the factors of 3564?
10164.
Is 3564 a prime number?
No. It is divisible by 2, so 3564 = 2 × 1782.