Factors of 3924
The factors of 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3924 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3924 ≈ 62.64; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10010. Without 3924 itself that is 6086, so 3924 is an abundant number.
LaTeX source of the formulas on this page
\[ 3924 = 2^{2} \times 3^{2} \times 109 \]Factor pairs of 3924
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3924 | 1 × 3924 = 3924 |
| 2 | 1962 | 2 × 1962 = 3924 |
| 3 | 1308 | 3 × 1308 = 3924 |
| 4 | 981 | 4 × 981 = 3924 |
| 6 | 654 | 6 × 654 = 3924 |
| 9 | 436 | 9 × 436 = 3924 |
| 12 | 327 | 12 × 327 = 3924 |
| 18 | 218 | 18 × 218 = 3924 |
| 36 | 109 | 36 × 109 = 3924 |
Questions
What are the factors of 3924?
The factors of 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924. It has 18 factors.
What are the prime factors of 3924?
2, 3, 109. As a product: × × 109.
How many factors does 3924 have?
3924 has 18 factors (9 factor pairs).
What is the sum of the factors of 3924?
10010.
Is 3924 a prime number?
No. It is divisible by 2, so 3924 = 2 × 1962.