Factors of 1992
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1992 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1992 ≈ 44.63; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 5040. Without 1992 itself that is 3048, so 1992 is an abundant number.
LaTeX source of the formulas on this page
\[ 1992 = 2^{3} \times 3 \times 83 \]Factor pairs of 1992
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1992 | 1 × 1992 = 1992 |
| 2 | 996 | 2 × 996 = 1992 |
| 3 | 664 | 3 × 664 = 1992 |
| 4 | 498 | 4 × 498 = 1992 |
| 6 | 332 | 6 × 332 = 1992 |
| 8 | 249 | 8 × 249 = 1992 |
| 12 | 166 | 12 × 166 = 1992 |
| 24 | 83 | 24 × 83 = 1992 |
Questions
What are the factors of 1992?
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992. It has 16 factors.
What are the prime factors of 1992?
2, 3, 83. As a product: × 3 × 83.
How many factors does 1992 have?
1992 has 16 factors (8 factor pairs).
What is the sum of the factors of 1992?
5040.
Is 1992 a prime number?
No. It is divisible by 2, so 1992 = 2 × 996.