Factors of 8007
The factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8007 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8007 ≈ 89.48; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 17 + 51 + 157 + 471 + 2669 + 8007 = 11376. Without 8007 itself that is 3369, so 8007 is a deficient number.
LaTeX source of the formulas on this page
\[ 8007 = 3 \times 17 \times 157 \]
Factor pairs of 8007
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8007 | 1 × 8007 = 8007 |
| 3 | 2669 | 3 × 2669 = 8007 |
| 17 | 471 | 17 × 471 = 8007 |
| 51 | 157 | 51 × 157 = 8007 |
Questions
What are the factors of 8007?
The factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007. It has 8 factors.
What are the prime factors of 8007?
3, 17, 157. As a product: 3 × 17 × 157.
How many factors does 8007 have?
8007 has 8 factors (4 factor pairs).
What is the sum of the factors of 8007?
11376.
Is 8007 a prime number?
No. It is divisible by 3, so 8007 = 3 × 2669.