Factors of 999
The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. It has 8 factors.
Factors of 999
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 999 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā999 ā 31.61; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 9 + 27 + 37 + 111 + 333 + 999 = 1520. Without 999 itself that is 521, so 999 is a deficient number.
LaTeX source of the formulas on this page
\[ 999 = 3^{3} \times 37 \]Factor pairs of 999
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 999 | 1 Ć 999 = 999 |
| 3 | 333 | 3 Ć 333 = 999 |
| 9 | 111 | 9 Ć 111 = 999 |
| 27 | 37 | 27 Ć 37 = 999 |
Questions
What are the factors of 999?
The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. It has 8 factors.
What are the prime factors of 999?
3, 37. As a product: Ć 37.
How many factors does 999 have?
999 has 8 factors (4 factor pairs).
What is the sum of the factors of 999?
1520.
Is 999 a prime number?
No. It is divisible by 3, so 999 = 3 Ć 333.