Factors of 7007
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7007 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7007 ≈ 83.71; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 7 + 11 + 13 + 49 + 77 + 91 + 143 + 539 + 637 + 1001 + 7007 = 9576. Without 7007 itself that is 2569, so 7007 is a deficient number.
LaTeX source of the formulas on this page
\[ 7007 = 7^{2} \times 11 \times 13 \]Factor pairs of 7007
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7007 | 1 × 7007 = 7007 |
| 7 | 1001 | 7 × 1001 = 7007 |
| 11 | 637 | 11 × 637 = 7007 |
| 13 | 539 | 13 × 539 = 7007 |
| 49 | 143 | 49 × 143 = 7007 |
| 77 | 91 | 77 × 91 = 7007 |
Questions
What are the factors of 7007?
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. It has 12 factors.
What are the prime factors of 7007?
7, 11, 13. As a product: × 11 × 13.
How many factors does 7007 have?
7007 has 12 factors (6 factor pairs).
What is the sum of the factors of 7007?
9576.
Is 7007 a prime number?
No. It is divisible by 7, so 7007 = 7 × 1001.