Factors of 3972
The factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3972 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3972 ≈ 63.02; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 3 + 4 + 6 + 12 + 331 + 662 + 993 + 1324 + 1986 + 3972 = 9296. Without 3972 itself that is 5324, so 3972 is an abundant number.
LaTeX source of the formulas on this page
\[ 3972 = 2^{2} \times 3 \times 331 \]Factor pairs of 3972
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3972 | 1 × 3972 = 3972 |
| 2 | 1986 | 2 × 1986 = 3972 |
| 3 | 1324 | 3 × 1324 = 3972 |
| 4 | 993 | 4 × 993 = 3972 |
| 6 | 662 | 6 × 662 = 3972 |
| 12 | 331 | 12 × 331 = 3972 |
Questions
What are the factors of 3972?
The factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972. It has 12 factors.
What are the prime factors of 3972?
2, 3, 331. As a product: × 3 × 331.
How many factors does 3972 have?
3972 has 12 factors (6 factor pairs).
What is the sum of the factors of 3972?
9296.
Is 3972 a prime number?
No. It is divisible by 2, so 3972 = 2 × 1986.