Factors of 3696
The factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3696 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3696 ≈ 60.79; 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 11904. Without 3696 itself that is 8208, so 3696 is an abundant number.
LaTeX source of the formulas on this page
\[ 3696 = 2^{4} \times 3 \times 7 \times 11 \]Factor pairs of 3696
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3696 | 1 × 3696 = 3696 |
| 2 | 1848 | 2 × 1848 = 3696 |
| 3 | 1232 | 3 × 1232 = 3696 |
| 4 | 924 | 4 × 924 = 3696 |
| 6 | 616 | 6 × 616 = 3696 |
| 7 | 528 | 7 × 528 = 3696 |
| 8 | 462 | 8 × 462 = 3696 |
| 11 | 336 | 11 × 336 = 3696 |
| 12 | 308 | 12 × 308 = 3696 |
| 14 | 264 | 14 × 264 = 3696 |
| 16 | 231 | 16 × 231 = 3696 |
| 21 | 176 | 21 × 176 = 3696 |
| 22 | 168 | 22 × 168 = 3696 |
| 24 | 154 | 24 × 154 = 3696 |
| 28 | 132 | 28 × 132 = 3696 |
| 33 | 112 | 33 × 112 = 3696 |
| 42 | 88 | 42 × 88 = 3696 |
| 44 | 84 | 44 × 84 = 3696 |
| 48 | 77 | 48 × 77 = 3696 |
| 56 | 66 | 56 × 66 = 3696 |
Questions
What are the factors of 3696?
The factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696. It has 40 factors.
What are the prime factors of 3696?
2, 3, 7, 11. As a product: × 3 × 7 × 11.
How many factors does 3696 have?
3696 has 40 factors (20 factor pairs).
What is the sum of the factors of 3696?
11904.
Is 3696 a prime number?
No. It is divisible by 2, so 3696 = 2 × 1848.