Factors of 3225
The factors of 3225 are 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3225 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3225 ≈ 56.79; 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 + 3 + 5 + 15 + 25 + 43 + 75 + 129 + 215 + 645 + 1075 + 3225 = 5456. Without 3225 itself that is 2231, so 3225 is a deficient number.
LaTeX source of the formulas on this page
\[ 3225 = 3 \times 5^{2} \times 43 \]Factor pairs of 3225
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3225 | 1 × 3225 = 3225 |
| 3 | 1075 | 3 × 1075 = 3225 |
| 5 | 645 | 5 × 645 = 3225 |
| 15 | 215 | 15 × 215 = 3225 |
| 25 | 129 | 25 × 129 = 3225 |
| 43 | 75 | 43 × 75 = 3225 |
Questions
What are the factors of 3225?
The factors of 3225 are 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225. It has 12 factors.
What are the prime factors of 3225?
3, 5, 43. As a product: 3 × × 43.
How many factors does 3225 have?
3225 has 12 factors (6 factor pairs).
What is the sum of the factors of 3225?
5456.
Is 3225 a prime number?
No. It is divisible by 3, so 3225 = 3 × 1075.