Factors of 9960
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9960 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9960 ≈ 99.80; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 30240. Without 9960 itself that is 20280, so 9960 is an abundant number.
LaTeX source of the formulas on this page
\[ 9960 = 2^{3} \times 3 \times 5 \times 83 \]Factor pairs of 9960
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9960 | 1 × 9960 = 9960 |
| 2 | 4980 | 2 × 4980 = 9960 |
| 3 | 3320 | 3 × 3320 = 9960 |
| 4 | 2490 | 4 × 2490 = 9960 |
| 5 | 1992 | 5 × 1992 = 9960 |
| 6 | 1660 | 6 × 1660 = 9960 |
| 8 | 1245 | 8 × 1245 = 9960 |
| 10 | 996 | 10 × 996 = 9960 |
| 12 | 830 | 12 × 830 = 9960 |
| 15 | 664 | 15 × 664 = 9960 |
| 20 | 498 | 20 × 498 = 9960 |
| 24 | 415 | 24 × 415 = 9960 |
| 30 | 332 | 30 × 332 = 9960 |
| 40 | 249 | 40 × 249 = 9960 |
| 60 | 166 | 60 × 166 = 9960 |
| 83 | 120 | 83 × 120 = 9960 |
Questions
What are the factors of 9960?
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960. It has 32 factors.
What are the prime factors of 9960?
2, 3, 5, 83. As a product: × 3 × 5 × 83.
How many factors does 9960 have?
9960 has 32 factors (16 factor pairs).
What is the sum of the factors of 9960?
30240.
Is 9960 a prime number?
No. It is divisible by 2, so 9960 = 2 × 4980.