Factors of 996
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 996 is a whole number that divides it with nothing left over. You only need to test the numbers up to √996 ≈ 31.56; 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 + 83 + 166 + 249 + 332 + 498 + 996 = 2352. Without 996 itself that is 1356, so 996 is an abundant number.
LaTeX source of the formulas on this page
\[ 996 = 2^{2} \times 3 \times 83 \]Factor pairs of 996
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 996 | 1 × 996 = 996 |
| 2 | 498 | 2 × 498 = 996 |
| 3 | 332 | 3 × 332 = 996 |
| 4 | 249 | 4 × 249 = 996 |
| 6 | 166 | 6 × 166 = 996 |
| 12 | 83 | 12 × 83 = 996 |
Questions
What are the factors of 996?
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. It has 12 factors.
What are the prime factors of 996?
2, 3, 83. As a product: × 3 × 83.
How many factors does 996 have?
996 has 12 factors (6 factor pairs).
What is the sum of the factors of 996?
2352.
Is 996 a prime number?
No. It is divisible by 2, so 996 = 2 × 498.