Factors of 3948
The factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3948 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3948 ≈ 62.83; 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 10752. Without 3948 itself that is 6804, so 3948 is an abundant number.
LaTeX source of the formulas on this page
\[ 3948 = 2^{2} \times 3 \times 7 \times 47 \]Factor pairs of 3948
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3948 | 1 × 3948 = 3948 |
| 2 | 1974 | 2 × 1974 = 3948 |
| 3 | 1316 | 3 × 1316 = 3948 |
| 4 | 987 | 4 × 987 = 3948 |
| 6 | 658 | 6 × 658 = 3948 |
| 7 | 564 | 7 × 564 = 3948 |
| 12 | 329 | 12 × 329 = 3948 |
| 14 | 282 | 14 × 282 = 3948 |
| 21 | 188 | 21 × 188 = 3948 |
| 28 | 141 | 28 × 141 = 3948 |
| 42 | 94 | 42 × 94 = 3948 |
| 47 | 84 | 47 × 84 = 3948 |
Questions
What are the factors of 3948?
The factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948. It has 24 factors.
What are the prime factors of 3948?
2, 3, 7, 47. As a product: × 3 × 7 × 47.
How many factors does 3948 have?
3948 has 24 factors (12 factor pairs).
What is the sum of the factors of 3948?
10752.
Is 3948 a prime number?
No. It is divisible by 2, so 3948 = 2 × 1974.