Factors of 9600
The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9600 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9600 ≈ 97.98; 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 31620. Without 9600 itself that is 22020, so 9600 is an abundant number.
LaTeX source of the formulas on this page
\[ 9600 = 2^{7} \times 3 \times 5^{2} \]Factor pairs of 9600
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9600 | 1 × 9600 = 9600 |
| 2 | 4800 | 2 × 4800 = 9600 |
| 3 | 3200 | 3 × 3200 = 9600 |
| 4 | 2400 | 4 × 2400 = 9600 |
| 5 | 1920 | 5 × 1920 = 9600 |
| 6 | 1600 | 6 × 1600 = 9600 |
| 8 | 1200 | 8 × 1200 = 9600 |
| 10 | 960 | 10 × 960 = 9600 |
| 12 | 800 | 12 × 800 = 9600 |
| 15 | 640 | 15 × 640 = 9600 |
| 16 | 600 | 16 × 600 = 9600 |
| 20 | 480 | 20 × 480 = 9600 |
| 24 | 400 | 24 × 400 = 9600 |
| 25 | 384 | 25 × 384 = 9600 |
| 30 | 320 | 30 × 320 = 9600 |
| 32 | 300 | 32 × 300 = 9600 |
| 40 | 240 | 40 × 240 = 9600 |
| 48 | 200 | 48 × 200 = 9600 |
| 50 | 192 | 50 × 192 = 9600 |
| 60 | 160 | 60 × 160 = 9600 |
| 64 | 150 | 64 × 150 = 9600 |
| 75 | 128 | 75 × 128 = 9600 |
| 80 | 120 | 80 × 120 = 9600 |
| 96 | 100 | 96 × 100 = 9600 |
Questions
What are the factors of 9600?
The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. It has 48 factors.
What are the prime factors of 9600?
2, 3, 5. As a product: × 3 × .
How many factors does 9600 have?
9600 has 48 factors (24 factor pairs).
What is the sum of the factors of 9600?
31620.
Is 9600 a prime number?
No. It is divisible by 2, so 9600 = 2 × 4800.