Factors of 8008
The factors of 8008 are 1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8008 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8008 ≈ 89.49; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 20160. Without 8008 itself that is 12152, so 8008 is an abundant number.
LaTeX source of the formulas on this page
\[ 8008 = 2^{3} \times 7 \times 11 \times 13 \]Factor pairs of 8008
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8008 | 1 × 8008 = 8008 |
| 2 | 4004 | 2 × 4004 = 8008 |
| 4 | 2002 | 4 × 2002 = 8008 |
| 7 | 1144 | 7 × 1144 = 8008 |
| 8 | 1001 | 8 × 1001 = 8008 |
| 11 | 728 | 11 × 728 = 8008 |
| 13 | 616 | 13 × 616 = 8008 |
| 14 | 572 | 14 × 572 = 8008 |
| 22 | 364 | 22 × 364 = 8008 |
| 26 | 308 | 26 × 308 = 8008 |
| 28 | 286 | 28 × 286 = 8008 |
| 44 | 182 | 44 × 182 = 8008 |
| 52 | 154 | 52 × 154 = 8008 |
| 56 | 143 | 56 × 143 = 8008 |
| 77 | 104 | 77 × 104 = 8008 |
| 88 | 91 | 88 × 91 = 8008 |
Questions
What are the factors of 8008?
The factors of 8008 are 1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008. It has 32 factors.
What are the prime factors of 8008?
2, 7, 11, 13. As a product: × 7 × 11 × 13.
How many factors does 8008 have?
8008 has 32 factors (16 factor pairs).
What is the sum of the factors of 8008?
20160.
Is 8008 a prime number?
No. It is divisible by 2, so 8008 = 2 × 4004.