Factors of 7008
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7008 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7008 ≈ 83.71; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 18648. Without 7008 itself that is 11640, so 7008 is an abundant number.
LaTeX source of the formulas on this page
\[ 7008 = 2^{5} \times 3 \times 73 \]Factor pairs of 7008
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7008 | 1 × 7008 = 7008 |
| 2 | 3504 | 2 × 3504 = 7008 |
| 3 | 2336 | 3 × 2336 = 7008 |
| 4 | 1752 | 4 × 1752 = 7008 |
| 6 | 1168 | 6 × 1168 = 7008 |
| 8 | 876 | 8 × 876 = 7008 |
| 12 | 584 | 12 × 584 = 7008 |
| 16 | 438 | 16 × 438 = 7008 |
| 24 | 292 | 24 × 292 = 7008 |
| 32 | 219 | 32 × 219 = 7008 |
| 48 | 146 | 48 × 146 = 7008 |
| 73 | 96 | 73 × 96 = 7008 |
Questions
What are the factors of 7008?
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008. It has 24 factors.
What are the prime factors of 7008?
2, 3, 73. As a product: × 3 × 73.
How many factors does 7008 have?
7008 has 24 factors (12 factor pairs).
What is the sum of the factors of 7008?
18648.
Is 7008 a prime number?
No. It is divisible by 2, so 7008 = 2 × 3504.