Factors of 9240
The factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240. It has 64 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9240 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9240 ≈ 96.12; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 64 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 34560. Without 9240 itself that is 25320, so 9240 is an abundant number.
LaTeX source of the formulas on this page
\[ 9240 = 2^{3} \times 3 \times 5 \times 7 \times 11 \]Factor pairs of 9240
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9240 | 1 × 9240 = 9240 |
| 2 | 4620 | 2 × 4620 = 9240 |
| 3 | 3080 | 3 × 3080 = 9240 |
| 4 | 2310 | 4 × 2310 = 9240 |
| 5 | 1848 | 5 × 1848 = 9240 |
| 6 | 1540 | 6 × 1540 = 9240 |
| 7 | 1320 | 7 × 1320 = 9240 |
| 8 | 1155 | 8 × 1155 = 9240 |
| 10 | 924 | 10 × 924 = 9240 |
| 11 | 840 | 11 × 840 = 9240 |
| 12 | 770 | 12 × 770 = 9240 |
| 14 | 660 | 14 × 660 = 9240 |
| 15 | 616 | 15 × 616 = 9240 |
| 20 | 462 | 20 × 462 = 9240 |
| 21 | 440 | 21 × 440 = 9240 |
| 22 | 420 | 22 × 420 = 9240 |
| 24 | 385 | 24 × 385 = 9240 |
| 28 | 330 | 28 × 330 = 9240 |
| 30 | 308 | 30 × 308 = 9240 |
| 33 | 280 | 33 × 280 = 9240 |
| 35 | 264 | 35 × 264 = 9240 |
| 40 | 231 | 40 × 231 = 9240 |
| 42 | 220 | 42 × 220 = 9240 |
| 44 | 210 | 44 × 210 = 9240 |
| 55 | 168 | 55 × 168 = 9240 |
| 56 | 165 | 56 × 165 = 9240 |
| 60 | 154 | 60 × 154 = 9240 |
| 66 | 140 | 66 × 140 = 9240 |
| 70 | 132 | 70 × 132 = 9240 |
| 77 | 120 | 77 × 120 = 9240 |
| 84 | 110 | 84 × 110 = 9240 |
| 88 | 105 | 88 × 105 = 9240 |
Questions
What are the factors of 9240?
The factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240. It has 64 factors.
What are the prime factors of 9240?
2, 3, 5, 7, 11. As a product: × 3 × 5 × 7 × 11.
How many factors does 9240 have?
9240 has 64 factors (32 factor pairs).
What is the sum of the factors of 9240?
34560.
Is 9240 a prime number?
No. It is divisible by 2, so 9240 = 2 × 4620.