Factors of 8736
The factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8736 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8736 ≈ 93.47; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 28224. Without 8736 itself that is 19488, so 8736 is an abundant number.
LaTeX source of the formulas on this page
\[ 8736 = 2^{5} \times 3 \times 7 \times 13 \]Factor pairs of 8736
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8736 | 1 × 8736 = 8736 |
| 2 | 4368 | 2 × 4368 = 8736 |
| 3 | 2912 | 3 × 2912 = 8736 |
| 4 | 2184 | 4 × 2184 = 8736 |
| 6 | 1456 | 6 × 1456 = 8736 |
| 7 | 1248 | 7 × 1248 = 8736 |
| 8 | 1092 | 8 × 1092 = 8736 |
| 12 | 728 | 12 × 728 = 8736 |
| 13 | 672 | 13 × 672 = 8736 |
| 14 | 624 | 14 × 624 = 8736 |
| 16 | 546 | 16 × 546 = 8736 |
| 21 | 416 | 21 × 416 = 8736 |
| 24 | 364 | 24 × 364 = 8736 |
| 26 | 336 | 26 × 336 = 8736 |
| 28 | 312 | 28 × 312 = 8736 |
| 32 | 273 | 32 × 273 = 8736 |
| 39 | 224 | 39 × 224 = 8736 |
| 42 | 208 | 42 × 208 = 8736 |
| 48 | 182 | 48 × 182 = 8736 |
| 52 | 168 | 52 × 168 = 8736 |
| 56 | 156 | 56 × 156 = 8736 |
| 78 | 112 | 78 × 112 = 8736 |
| 84 | 104 | 84 × 104 = 8736 |
| 91 | 96 | 91 × 96 = 8736 |
Questions
What are the factors of 8736?
The factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736. It has 48 factors.
What are the prime factors of 8736?
2, 3, 7, 13. As a product: × 3 × 7 × 13.
How many factors does 8736 have?
8736 has 48 factors (24 factor pairs).
What is the sum of the factors of 8736?
28224.
Is 8736 a prime number?
No. It is divisible by 2, so 8736 = 2 × 4368.