Factors of 3900
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3900 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3900 ≈ 62.45; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 12152. Without 3900 itself that is 8252, so 3900 is an abundant number.
LaTeX source of the formulas on this page
\[ 3900 = 2^{2} \times 3 \times 5^{2} \times 13 \]Factor pairs of 3900
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3900 | 1 × 3900 = 3900 |
| 2 | 1950 | 2 × 1950 = 3900 |
| 3 | 1300 | 3 × 1300 = 3900 |
| 4 | 975 | 4 × 975 = 3900 |
| 5 | 780 | 5 × 780 = 3900 |
| 6 | 650 | 6 × 650 = 3900 |
| 10 | 390 | 10 × 390 = 3900 |
| 12 | 325 | 12 × 325 = 3900 |
| 13 | 300 | 13 × 300 = 3900 |
| 15 | 260 | 15 × 260 = 3900 |
| 20 | 195 | 20 × 195 = 3900 |
| 25 | 156 | 25 × 156 = 3900 |
| 26 | 150 | 26 × 150 = 3900 |
| 30 | 130 | 30 × 130 = 3900 |
| 39 | 100 | 39 × 100 = 3900 |
| 50 | 78 | 50 × 78 = 3900 |
| 52 | 75 | 52 × 75 = 3900 |
| 60 | 65 | 60 × 65 = 3900 |
Questions
What are the factors of 3900?
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. It has 36 factors.
What are the prime factors of 3900?
2, 3, 5, 13. As a product: × 3 × × 13.
How many factors does 3900 have?
3900 has 36 factors (18 factor pairs).
What is the sum of the factors of 3900?
12152.
Is 3900 a prime number?
No. It is divisible by 2, so 3900 = 2 × 1950.