Factors of 9660
The factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9660 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9660 ≈ 98.29; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 32256. Without 9660 itself that is 22596, so 9660 is an abundant number.
LaTeX source of the formulas on this page
\[ 9660 = 2^{2} \times 3 \times 5 \times 7 \times 23 \]Factor pairs of 9660
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9660 | 1 × 9660 = 9660 |
| 2 | 4830 | 2 × 4830 = 9660 |
| 3 | 3220 | 3 × 3220 = 9660 |
| 4 | 2415 | 4 × 2415 = 9660 |
| 5 | 1932 | 5 × 1932 = 9660 |
| 6 | 1610 | 6 × 1610 = 9660 |
| 7 | 1380 | 7 × 1380 = 9660 |
| 10 | 966 | 10 × 966 = 9660 |
| 12 | 805 | 12 × 805 = 9660 |
| 14 | 690 | 14 × 690 = 9660 |
| 15 | 644 | 15 × 644 = 9660 |
| 20 | 483 | 20 × 483 = 9660 |
| 21 | 460 | 21 × 460 = 9660 |
| 23 | 420 | 23 × 420 = 9660 |
| 28 | 345 | 28 × 345 = 9660 |
| 30 | 322 | 30 × 322 = 9660 |
| 35 | 276 | 35 × 276 = 9660 |
| 42 | 230 | 42 × 230 = 9660 |
| 46 | 210 | 46 × 210 = 9660 |
| 60 | 161 | 60 × 161 = 9660 |
| 69 | 140 | 69 × 140 = 9660 |
| 70 | 138 | 70 × 138 = 9660 |
| 84 | 115 | 84 × 115 = 9660 |
| 92 | 105 | 92 × 105 = 9660 |
Questions
What are the factors of 9660?
The factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660. It has 48 factors.
What are the prime factors of 9660?
2, 3, 5, 7, 23. As a product: × 3 × 5 × 7 × 23.
How many factors does 9660 have?
9660 has 48 factors (24 factor pairs).
What is the sum of the factors of 9660?
32256.
Is 9660 a prime number?
No. It is divisible by 2, so 9660 = 2 × 4830.