Factors of 5616
The factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5616 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5616 ≈ 74.94; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 17360. Without 5616 itself that is 11744, so 5616 is an abundant number.
LaTeX source of the formulas on this page
\[ 5616 = 2^{4} \times 3^{3} \times 13 \]Factor pairs of 5616
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5616 | 1 × 5616 = 5616 |
| 2 | 2808 | 2 × 2808 = 5616 |
| 3 | 1872 | 3 × 1872 = 5616 |
| 4 | 1404 | 4 × 1404 = 5616 |
| 6 | 936 | 6 × 936 = 5616 |
| 8 | 702 | 8 × 702 = 5616 |
| 9 | 624 | 9 × 624 = 5616 |
| 12 | 468 | 12 × 468 = 5616 |
| 13 | 432 | 13 × 432 = 5616 |
| 16 | 351 | 16 × 351 = 5616 |
| 18 | 312 | 18 × 312 = 5616 |
| 24 | 234 | 24 × 234 = 5616 |
| 26 | 216 | 26 × 216 = 5616 |
| 27 | 208 | 27 × 208 = 5616 |
| 36 | 156 | 36 × 156 = 5616 |
| 39 | 144 | 39 × 144 = 5616 |
| 48 | 117 | 48 × 117 = 5616 |
| 52 | 108 | 52 × 108 = 5616 |
| 54 | 104 | 54 × 104 = 5616 |
| 72 | 78 | 72 × 78 = 5616 |
Questions
What are the factors of 5616?
The factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616. It has 40 factors.
What are the prime factors of 5616?
2, 3, 13. As a product: × × 13.
How many factors does 5616 have?
5616 has 40 factors (20 factor pairs).
What is the sum of the factors of 5616?
17360.
Is 5616 a prime number?
No. It is divisible by 2, so 5616 = 2 × 2808.