Factors of 9936
The factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9936 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9936 ≈ 99.68; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 29760. Without 9936 itself that is 19824, so 9936 is an abundant number.
LaTeX source of the formulas on this page
\[ 9936 = 2^{4} \times 3^{3} \times 23 \]Factor pairs of 9936
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9936 | 1 × 9936 = 9936 |
| 2 | 4968 | 2 × 4968 = 9936 |
| 3 | 3312 | 3 × 3312 = 9936 |
| 4 | 2484 | 4 × 2484 = 9936 |
| 6 | 1656 | 6 × 1656 = 9936 |
| 8 | 1242 | 8 × 1242 = 9936 |
| 9 | 1104 | 9 × 1104 = 9936 |
| 12 | 828 | 12 × 828 = 9936 |
| 16 | 621 | 16 × 621 = 9936 |
| 18 | 552 | 18 × 552 = 9936 |
| 23 | 432 | 23 × 432 = 9936 |
| 24 | 414 | 24 × 414 = 9936 |
| 27 | 368 | 27 × 368 = 9936 |
| 36 | 276 | 36 × 276 = 9936 |
| 46 | 216 | 46 × 216 = 9936 |
| 48 | 207 | 48 × 207 = 9936 |
| 54 | 184 | 54 × 184 = 9936 |
| 69 | 144 | 69 × 144 = 9936 |
| 72 | 138 | 72 × 138 = 9936 |
| 92 | 108 | 92 × 108 = 9936 |
Questions
What are the factors of 9936?
The factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936. It has 40 factors.
What are the prime factors of 9936?
2, 3, 23. As a product: × × 23.
How many factors does 9936 have?
9936 has 40 factors (20 factor pairs).
What is the sum of the factors of 9936?
29760.
Is 9936 a prime number?
No. It is divisible by 2, so 9936 = 2 × 4968.