Factors of 204
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 204 is a whole number that divides it with nothing left over. You only need to test the numbers up to √204 ≈ 14.28; 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 + 2 + 3 + 4 + 6 + 12 + 17 + 34 + 51 + 68 + 102 + 204 = 504. Without 204 itself that is 300, so 204 is an abundant number.
LaTeX source of the formulas on this page
\[ 204 = 2^{2} \times 3 \times 17 \]Factor pairs of 204
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 204 | 1 × 204 = 204 |
| 2 | 102 | 2 × 102 = 204 |
| 3 | 68 | 3 × 68 = 204 |
| 4 | 51 | 4 × 51 = 204 |
| 6 | 34 | 6 × 34 = 204 |
| 12 | 17 | 12 × 17 = 204 |
Questions
What are the factors of 204?
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. It has 12 factors.
What are the prime factors of 204?
2, 3, 17. As a product: × 3 × 17.
How many factors does 204 have?
204 has 12 factors (6 factor pairs).
What is the sum of the factors of 204?
504.
Is 204 a prime number?
No. It is divisible by 2, so 204 = 2 × 102.