Factors of 9072
The factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072. It has 50 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9072 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9072 ≈ 95.25; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 50 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 30008. Without 9072 itself that is 20936, so 9072 is an abundant number.
LaTeX source of the formulas on this page
\[ 9072 = 2^{4} \times 3^{4} \times 7 \]Factor pairs of 9072
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9072 | 1 × 9072 = 9072 |
| 2 | 4536 | 2 × 4536 = 9072 |
| 3 | 3024 | 3 × 3024 = 9072 |
| 4 | 2268 | 4 × 2268 = 9072 |
| 6 | 1512 | 6 × 1512 = 9072 |
| 7 | 1296 | 7 × 1296 = 9072 |
| 8 | 1134 | 8 × 1134 = 9072 |
| 9 | 1008 | 9 × 1008 = 9072 |
| 12 | 756 | 12 × 756 = 9072 |
| 14 | 648 | 14 × 648 = 9072 |
| 16 | 567 | 16 × 567 = 9072 |
| 18 | 504 | 18 × 504 = 9072 |
| 21 | 432 | 21 × 432 = 9072 |
| 24 | 378 | 24 × 378 = 9072 |
| 27 | 336 | 27 × 336 = 9072 |
| 28 | 324 | 28 × 324 = 9072 |
| 36 | 252 | 36 × 252 = 9072 |
| 42 | 216 | 42 × 216 = 9072 |
| 48 | 189 | 48 × 189 = 9072 |
| 54 | 168 | 54 × 168 = 9072 |
| 56 | 162 | 56 × 162 = 9072 |
| 63 | 144 | 63 × 144 = 9072 |
| 72 | 126 | 72 × 126 = 9072 |
| 81 | 112 | 81 × 112 = 9072 |
| 84 | 108 | 84 × 108 = 9072 |
Questions
What are the factors of 9072?
The factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072. It has 50 factors.
What are the prime factors of 9072?
2, 3, 7. As a product: × × 7.
How many factors does 9072 have?
9072 has 50 factors (25 factor pairs).
What is the sum of the factors of 9072?
30008.
Is 9072 a prime number?
No. It is divisible by 2, so 9072 = 2 × 4536.