Factors of 9648
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9648 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9648 ≈ 98.22; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 27404. Without 9648 itself that is 17756, so 9648 is an abundant number.
LaTeX source of the formulas on this page
\[ 9648 = 2^{4} \times 3^{2} \times 67 \]Factor pairs of 9648
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9648 | 1 × 9648 = 9648 |
| 2 | 4824 | 2 × 4824 = 9648 |
| 3 | 3216 | 3 × 3216 = 9648 |
| 4 | 2412 | 4 × 2412 = 9648 |
| 6 | 1608 | 6 × 1608 = 9648 |
| 8 | 1206 | 8 × 1206 = 9648 |
| 9 | 1072 | 9 × 1072 = 9648 |
| 12 | 804 | 12 × 804 = 9648 |
| 16 | 603 | 16 × 603 = 9648 |
| 18 | 536 | 18 × 536 = 9648 |
| 24 | 402 | 24 × 402 = 9648 |
| 36 | 268 | 36 × 268 = 9648 |
| 48 | 201 | 48 × 201 = 9648 |
| 67 | 144 | 67 × 144 = 9648 |
| 72 | 134 | 72 × 134 = 9648 |
Questions
What are the factors of 9648?
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648. It has 30 factors.
What are the prime factors of 9648?
2, 3, 67. As a product: × × 67.
How many factors does 9648 have?
9648 has 30 factors (15 factor pairs).
What is the sum of the factors of 9648?
27404.
Is 9648 a prime number?
No. It is divisible by 2, so 9648 = 2 × 4824.