Factors of 3984
The factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3984 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3984 ≈ 63.12; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10416. Without 3984 itself that is 6432, so 3984 is an abundant number.
LaTeX source of the formulas on this page
\[ 3984 = 2^{4} \times 3 \times 83 \]Factor pairs of 3984
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3984 | 1 × 3984 = 3984 |
| 2 | 1992 | 2 × 1992 = 3984 |
| 3 | 1328 | 3 × 1328 = 3984 |
| 4 | 996 | 4 × 996 = 3984 |
| 6 | 664 | 6 × 664 = 3984 |
| 8 | 498 | 8 × 498 = 3984 |
| 12 | 332 | 12 × 332 = 3984 |
| 16 | 249 | 16 × 249 = 3984 |
| 24 | 166 | 24 × 166 = 3984 |
| 48 | 83 | 48 × 83 = 3984 |
Questions
What are the factors of 3984?
The factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984. It has 20 factors.
What are the prime factors of 3984?
2, 3, 83. As a product: × 3 × 83.
How many factors does 3984 have?
3984 has 20 factors (10 factor pairs).
What is the sum of the factors of 3984?
10416.
Is 3984 a prime number?
No. It is divisible by 2, so 3984 = 2 × 1992.