Factors of 828
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 828 is a whole number that divides it with nothing left over. You only need to test the numbers up to √828 ≈ 28.77; 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 2184. Without 828 itself that is 1356, so 828 is an abundant number.
LaTeX source of the formulas on this page
\[ 828 = 2^{2} \times 3^{2} \times 23 \]Factor pairs of 828
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 828 | 1 × 828 = 828 |
| 2 | 414 | 2 × 414 = 828 |
| 3 | 276 | 3 × 276 = 828 |
| 4 | 207 | 4 × 207 = 828 |
| 6 | 138 | 6 × 138 = 828 |
| 9 | 92 | 9 × 92 = 828 |
| 12 | 69 | 12 × 69 = 828 |
| 18 | 46 | 18 × 46 = 828 |
| 23 | 36 | 23 × 36 = 828 |
Questions
What are the factors of 828?
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. It has 18 factors.
What are the prime factors of 828?
2, 3, 23. As a product: × × 23.
How many factors does 828 have?
828 has 18 factors (9 factor pairs).
What is the sum of the factors of 828?
2184.
Is 828 a prime number?
No. It is divisible by 2, so 828 = 2 × 414.