Factors of 9800
The factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9800 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9800 ≈ 98.99; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 26505. Without 9800 itself that is 16705, so 9800 is an abundant number.
LaTeX source of the formulas on this page
\[ 9800 = 2^{3} \times 5^{2} \times 7^{2} \]Factor pairs of 9800
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9800 | 1 × 9800 = 9800 |
| 2 | 4900 | 2 × 4900 = 9800 |
| 4 | 2450 | 4 × 2450 = 9800 |
| 5 | 1960 | 5 × 1960 = 9800 |
| 7 | 1400 | 7 × 1400 = 9800 |
| 8 | 1225 | 8 × 1225 = 9800 |
| 10 | 980 | 10 × 980 = 9800 |
| 14 | 700 | 14 × 700 = 9800 |
| 20 | 490 | 20 × 490 = 9800 |
| 25 | 392 | 25 × 392 = 9800 |
| 28 | 350 | 28 × 350 = 9800 |
| 35 | 280 | 35 × 280 = 9800 |
| 40 | 245 | 40 × 245 = 9800 |
| 49 | 200 | 49 × 200 = 9800 |
| 50 | 196 | 50 × 196 = 9800 |
| 56 | 175 | 56 × 175 = 9800 |
| 70 | 140 | 70 × 140 = 9800 |
| 98 | 100 | 98 × 100 = 9800 |
Questions
What are the factors of 9800?
The factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800. It has 36 factors.
What are the prime factors of 9800?
2, 5, 7. As a product: × × .
How many factors does 9800 have?
9800 has 36 factors (18 factor pairs).
What is the sum of the factors of 9800?
26505.
Is 9800 a prime number?
No. It is divisible by 2, so 9800 = 2 × 4900.