Factors of 396
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 396 is a whole number that divides it with nothing left over. You only need to test the numbers up to √396 ≈ 19.90; 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 1092. Without 396 itself that is 696, so 396 is an abundant number.
LaTeX source of the formulas on this page
\[ 396 = 2^{2} \times 3^{2} \times 11 \]Factor pairs of 396
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 396 | 1 × 396 = 396 |
| 2 | 198 | 2 × 198 = 396 |
| 3 | 132 | 3 × 132 = 396 |
| 4 | 99 | 4 × 99 = 396 |
| 6 | 66 | 6 × 66 = 396 |
| 9 | 44 | 9 × 44 = 396 |
| 11 | 36 | 11 × 36 = 396 |
| 12 | 33 | 12 × 33 = 396 |
| 18 | 22 | 18 × 22 = 396 |
Questions
What are the factors of 396?
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. It has 18 factors.
What are the prime factors of 396?
2, 3, 11. As a product: × × 11.
How many factors does 396 have?
396 has 18 factors (9 factor pairs).
What is the sum of the factors of 396?
1092.
Is 396 a prime number?
No. It is divisible by 2, so 396 = 2 × 198.