Factors of 3204
The factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3204 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3204 ≈ 56.60; 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 8190. Without 3204 itself that is 4986, so 3204 is an abundant number.
LaTeX source of the formulas on this page
\[ 3204 = 2^{2} \times 3^{2} \times 89 \]Factor pairs of 3204
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3204 | 1 × 3204 = 3204 |
| 2 | 1602 | 2 × 1602 = 3204 |
| 3 | 1068 | 3 × 1068 = 3204 |
| 4 | 801 | 4 × 801 = 3204 |
| 6 | 534 | 6 × 534 = 3204 |
| 9 | 356 | 9 × 356 = 3204 |
| 12 | 267 | 12 × 267 = 3204 |
| 18 | 178 | 18 × 178 = 3204 |
| 36 | 89 | 36 × 89 = 3204 |
Questions
What are the factors of 3204?
The factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204. It has 18 factors.
What are the prime factors of 3204?
2, 3, 89. As a product: × × 89.
How many factors does 3204 have?
3204 has 18 factors (9 factor pairs).
What is the sum of the factors of 3204?
8190.
Is 3204 a prime number?
No. It is divisible by 2, so 3204 = 2 × 1602.