Factors of 4320
The factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4320 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4320 ≈ 65.73; 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 15120. Without 4320 itself that is 10800, so 4320 is an abundant number.
LaTeX source of the formulas on this page
\[ 4320 = 2^{5} \times 3^{3} \times 5 \]Factor pairs of 4320
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4320 | 1 × 4320 = 4320 |
| 2 | 2160 | 2 × 2160 = 4320 |
| 3 | 1440 | 3 × 1440 = 4320 |
| 4 | 1080 | 4 × 1080 = 4320 |
| 5 | 864 | 5 × 864 = 4320 |
| 6 | 720 | 6 × 720 = 4320 |
| 8 | 540 | 8 × 540 = 4320 |
| 9 | 480 | 9 × 480 = 4320 |
| 10 | 432 | 10 × 432 = 4320 |
| 12 | 360 | 12 × 360 = 4320 |
| 15 | 288 | 15 × 288 = 4320 |
| 16 | 270 | 16 × 270 = 4320 |
| 18 | 240 | 18 × 240 = 4320 |
| 20 | 216 | 20 × 216 = 4320 |
| 24 | 180 | 24 × 180 = 4320 |
| 27 | 160 | 27 × 160 = 4320 |
| 30 | 144 | 30 × 144 = 4320 |
| 32 | 135 | 32 × 135 = 4320 |
| 36 | 120 | 36 × 120 = 4320 |
| 40 | 108 | 40 × 108 = 4320 |
| 45 | 96 | 45 × 96 = 4320 |
| 48 | 90 | 48 × 90 = 4320 |
| 54 | 80 | 54 × 80 = 4320 |
| 60 | 72 | 60 × 72 = 4320 |
Questions
What are the factors of 4320?
The factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320. It has 48 factors.
What are the prime factors of 4320?
2, 3, 5. As a product: × × 5.
How many factors does 4320 have?
4320 has 48 factors (24 factor pairs).
What is the sum of the factors of 4320?
15120.
Is 4320 a prime number?
No. It is divisible by 2, so 4320 = 2 × 2160.