Factors of 3978
The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3978 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3978 ≈ 63.07; 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 9828. Without 3978 itself that is 5850, so 3978 is an abundant number.
LaTeX source of the formulas on this page
\[ 3978 = 2 \times 3^{2} \times 13 \times 17 \]Factor pairs of 3978
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3978 | 1 × 3978 = 3978 |
| 2 | 1989 | 2 × 1989 = 3978 |
| 3 | 1326 | 3 × 1326 = 3978 |
| 6 | 663 | 6 × 663 = 3978 |
| 9 | 442 | 9 × 442 = 3978 |
| 13 | 306 | 13 × 306 = 3978 |
| 17 | 234 | 17 × 234 = 3978 |
| 18 | 221 | 18 × 221 = 3978 |
| 26 | 153 | 26 × 153 = 3978 |
| 34 | 117 | 34 × 117 = 3978 |
| 39 | 102 | 39 × 102 = 3978 |
| 51 | 78 | 51 × 78 = 3978 |
Questions
What are the factors of 3978?
The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. It has 24 factors.
What are the prime factors of 3978?
2, 3, 13, 17. As a product: 2 × × 13 × 17.
How many factors does 3978 have?
3978 has 24 factors (12 factor pairs).
What is the sum of the factors of 3978?
9828.
Is 3978 a prime number?
No. It is divisible by 2, so 3978 = 2 × 1989.