Factors of 9900
The factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900. It has 54 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9900 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9900 ≈ 99.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 54 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 33852. Without 9900 itself that is 23952, so 9900 is an abundant number.
LaTeX source of the formulas on this page
\[ 9900 = 2^{2} \times 3^{2} \times 5^{2} \times 11 \]Factor pairs of 9900
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9900 | 1 × 9900 = 9900 |
| 2 | 4950 | 2 × 4950 = 9900 |
| 3 | 3300 | 3 × 3300 = 9900 |
| 4 | 2475 | 4 × 2475 = 9900 |
| 5 | 1980 | 5 × 1980 = 9900 |
| 6 | 1650 | 6 × 1650 = 9900 |
| 9 | 1100 | 9 × 1100 = 9900 |
| 10 | 990 | 10 × 990 = 9900 |
| 11 | 900 | 11 × 900 = 9900 |
| 12 | 825 | 12 × 825 = 9900 |
| 15 | 660 | 15 × 660 = 9900 |
| 18 | 550 | 18 × 550 = 9900 |
| 20 | 495 | 20 × 495 = 9900 |
| 22 | 450 | 22 × 450 = 9900 |
| 25 | 396 | 25 × 396 = 9900 |
| 30 | 330 | 30 × 330 = 9900 |
| 33 | 300 | 33 × 300 = 9900 |
| 36 | 275 | 36 × 275 = 9900 |
| 44 | 225 | 44 × 225 = 9900 |
| 45 | 220 | 45 × 220 = 9900 |
| 50 | 198 | 50 × 198 = 9900 |
| 55 | 180 | 55 × 180 = 9900 |
| 60 | 165 | 60 × 165 = 9900 |
| 66 | 150 | 66 × 150 = 9900 |
| 75 | 132 | 75 × 132 = 9900 |
| 90 | 110 | 90 × 110 = 9900 |
| 99 | 100 | 99 × 100 = 9900 |
Questions
What are the factors of 9900?
The factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900. It has 54 factors.
What are the prime factors of 9900?
2, 3, 5, 11. As a product: × × × 11.
How many factors does 9900 have?
9900 has 54 factors (27 factor pairs).
What is the sum of the factors of 9900?
33852.
Is 9900 a prime number?
No. It is divisible by 2, so 9900 = 2 × 4950.