Factors of 8820
The factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820. It has 54 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8820 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8820 ≈ 93.91; 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 31122. Without 8820 itself that is 22302, so 8820 is an abundant number.
LaTeX source of the formulas on this page
\[ 8820 = 2^{2} \times 3^{2} \times 5 \times 7^{2} \]Factor pairs of 8820
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8820 | 1 × 8820 = 8820 |
| 2 | 4410 | 2 × 4410 = 8820 |
| 3 | 2940 | 3 × 2940 = 8820 |
| 4 | 2205 | 4 × 2205 = 8820 |
| 5 | 1764 | 5 × 1764 = 8820 |
| 6 | 1470 | 6 × 1470 = 8820 |
| 7 | 1260 | 7 × 1260 = 8820 |
| 9 | 980 | 9 × 980 = 8820 |
| 10 | 882 | 10 × 882 = 8820 |
| 12 | 735 | 12 × 735 = 8820 |
| 14 | 630 | 14 × 630 = 8820 |
| 15 | 588 | 15 × 588 = 8820 |
| 18 | 490 | 18 × 490 = 8820 |
| 20 | 441 | 20 × 441 = 8820 |
| 21 | 420 | 21 × 420 = 8820 |
| 28 | 315 | 28 × 315 = 8820 |
| 30 | 294 | 30 × 294 = 8820 |
| 35 | 252 | 35 × 252 = 8820 |
| 36 | 245 | 36 × 245 = 8820 |
| 42 | 210 | 42 × 210 = 8820 |
| 45 | 196 | 45 × 196 = 8820 |
| 49 | 180 | 49 × 180 = 8820 |
| 60 | 147 | 60 × 147 = 8820 |
| 63 | 140 | 63 × 140 = 8820 |
| 70 | 126 | 70 × 126 = 8820 |
| 84 | 105 | 84 × 105 = 8820 |
| 90 | 98 | 90 × 98 = 8820 |
Questions
What are the factors of 8820?
The factors of 8820 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820. It has 54 factors.
What are the prime factors of 8820?
2, 3, 5, 7. As a product: × × 5 × .
How many factors does 8820 have?
8820 has 54 factors (27 factor pairs).
What is the sum of the factors of 8820?
31122.
Is 8820 a prime number?
No. It is divisible by 2, so 8820 = 2 × 4410.