Factors of 3996
The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3996 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3996 ≈ 63.21; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10640. Without 3996 itself that is 6644, so 3996 is an abundant number.
LaTeX source of the formulas on this page
\[ 3996 = 2^{2} \times 3^{3} \times 37 \]Factor pairs of 3996
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3996 | 1 × 3996 = 3996 |
| 2 | 1998 | 2 × 1998 = 3996 |
| 3 | 1332 | 3 × 1332 = 3996 |
| 4 | 999 | 4 × 999 = 3996 |
| 6 | 666 | 6 × 666 = 3996 |
| 9 | 444 | 9 × 444 = 3996 |
| 12 | 333 | 12 × 333 = 3996 |
| 18 | 222 | 18 × 222 = 3996 |
| 27 | 148 | 27 × 148 = 3996 |
| 36 | 111 | 36 × 111 = 3996 |
| 37 | 108 | 37 × 108 = 3996 |
| 54 | 74 | 54 × 74 = 3996 |
Questions
What are the factors of 3996?
The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996. It has 24 factors.
What are the prime factors of 3996?
2, 3, 37. As a product: × × 37.
How many factors does 3996 have?
3996 has 24 factors (12 factor pairs).
What is the sum of the factors of 3996?
10640.
Is 3996 a prime number?
No. It is divisible by 2, so 3996 = 2 × 1998.