Factors of 3825
The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3825 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3825 ≈ 61.85; 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 7254. Without 3825 itself that is 3429, so 3825 is a deficient number.
LaTeX source of the formulas on this page
\[ 3825 = 3^{2} \times 5^{2} \times 17 \]Factor pairs of 3825
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3825 | 1 × 3825 = 3825 |
| 3 | 1275 | 3 × 1275 = 3825 |
| 5 | 765 | 5 × 765 = 3825 |
| 9 | 425 | 9 × 425 = 3825 |
| 15 | 255 | 15 × 255 = 3825 |
| 17 | 225 | 17 × 225 = 3825 |
| 25 | 153 | 25 × 153 = 3825 |
| 45 | 85 | 45 × 85 = 3825 |
| 51 | 75 | 51 × 75 = 3825 |
Questions
What are the factors of 3825?
The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825. It has 18 factors.
What are the prime factors of 3825?
3, 5, 17. As a product: × × 17.
How many factors does 3825 have?
3825 has 18 factors (9 factor pairs).
What is the sum of the factors of 3825?
7254.
Is 3825 a prime number?
No. It is divisible by 3, so 3825 = 3 × 1275.