Factors of 9990
The factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9990 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9990 ≈ 99.95; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 27360. Without 9990 itself that is 17370, so 9990 is an abundant number.
LaTeX source of the formulas on this page
\[ 9990 = 2 \times 3^{3} \times 5 \times 37 \]Factor pairs of 9990
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9990 | 1 × 9990 = 9990 |
| 2 | 4995 | 2 × 4995 = 9990 |
| 3 | 3330 | 3 × 3330 = 9990 |
| 5 | 1998 | 5 × 1998 = 9990 |
| 6 | 1665 | 6 × 1665 = 9990 |
| 9 | 1110 | 9 × 1110 = 9990 |
| 10 | 999 | 10 × 999 = 9990 |
| 15 | 666 | 15 × 666 = 9990 |
| 18 | 555 | 18 × 555 = 9990 |
| 27 | 370 | 27 × 370 = 9990 |
| 30 | 333 | 30 × 333 = 9990 |
| 37 | 270 | 37 × 270 = 9990 |
| 45 | 222 | 45 × 222 = 9990 |
| 54 | 185 | 54 × 185 = 9990 |
| 74 | 135 | 74 × 135 = 9990 |
| 90 | 111 | 90 × 111 = 9990 |
Questions
What are the factors of 9990?
The factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990. It has 32 factors.
What are the prime factors of 9990?
2, 3, 5, 37. As a product: 2 × × 5 × 37.
How many factors does 9990 have?
9990 has 32 factors (16 factor pairs).
What is the sum of the factors of 9990?
27360.
Is 9990 a prime number?
No. It is divisible by 2, so 9990 = 2 × 4995.