Factors of 9702
The factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9702 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9702 ≈ 98.50; 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 26676. Without 9702 itself that is 16974, so 9702 is an abundant number.
LaTeX source of the formulas on this page
\[ 9702 = 2 \times 3^{2} \times 7^{2} \times 11 \]Factor pairs of 9702
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9702 | 1 × 9702 = 9702 |
| 2 | 4851 | 2 × 4851 = 9702 |
| 3 | 3234 | 3 × 3234 = 9702 |
| 6 | 1617 | 6 × 1617 = 9702 |
| 7 | 1386 | 7 × 1386 = 9702 |
| 9 | 1078 | 9 × 1078 = 9702 |
| 11 | 882 | 11 × 882 = 9702 |
| 14 | 693 | 14 × 693 = 9702 |
| 18 | 539 | 18 × 539 = 9702 |
| 21 | 462 | 21 × 462 = 9702 |
| 22 | 441 | 22 × 441 = 9702 |
| 33 | 294 | 33 × 294 = 9702 |
| 42 | 231 | 42 × 231 = 9702 |
| 49 | 198 | 49 × 198 = 9702 |
| 63 | 154 | 63 × 154 = 9702 |
| 66 | 147 | 66 × 147 = 9702 |
| 77 | 126 | 77 × 126 = 9702 |
| 98 | 99 | 98 × 99 = 9702 |
Questions
What are the factors of 9702?
The factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702. It has 36 factors.
What are the prime factors of 9702?
2, 3, 7, 11. As a product: 2 × × × 11.
How many factors does 9702 have?
9702 has 36 factors (18 factor pairs).
What is the sum of the factors of 9702?
26676.
Is 9702 a prime number?
No. It is divisible by 2, so 9702 = 2 × 4851.