Factors of 8064
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8064 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8064 ≈ 89.80; 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 26520. Without 8064 itself that is 18456, so 8064 is an abundant number.
LaTeX source of the formulas on this page
\[ 8064 = 2^{7} \times 3^{2} \times 7 \]Factor pairs of 8064
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8064 | 1 × 8064 = 8064 |
| 2 | 4032 | 2 × 4032 = 8064 |
| 3 | 2688 | 3 × 2688 = 8064 |
| 4 | 2016 | 4 × 2016 = 8064 |
| 6 | 1344 | 6 × 1344 = 8064 |
| 7 | 1152 | 7 × 1152 = 8064 |
| 8 | 1008 | 8 × 1008 = 8064 |
| 9 | 896 | 9 × 896 = 8064 |
| 12 | 672 | 12 × 672 = 8064 |
| 14 | 576 | 14 × 576 = 8064 |
| 16 | 504 | 16 × 504 = 8064 |
| 18 | 448 | 18 × 448 = 8064 |
| 21 | 384 | 21 × 384 = 8064 |
| 24 | 336 | 24 × 336 = 8064 |
| 28 | 288 | 28 × 288 = 8064 |
| 32 | 252 | 32 × 252 = 8064 |
| 36 | 224 | 36 × 224 = 8064 |
| 42 | 192 | 42 × 192 = 8064 |
| 48 | 168 | 48 × 168 = 8064 |
| 56 | 144 | 56 × 144 = 8064 |
| 63 | 128 | 63 × 128 = 8064 |
| 64 | 126 | 64 × 126 = 8064 |
| 72 | 112 | 72 × 112 = 8064 |
| 84 | 96 | 84 × 96 = 8064 |
Questions
What are the factors of 8064?
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064. It has 48 factors.
What are the prime factors of 8064?
2, 3, 7. As a product: × × 7.
How many factors does 8064 have?
8064 has 48 factors (24 factor pairs).
What is the sum of the factors of 8064?
26520.
Is 8064 a prime number?
No. It is divisible by 2, so 8064 = 2 × 4032.