Factors of 5005
The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5005 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5005 ≈ 70.75; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 8064. Without 5005 itself that is 3059, so 5005 is a deficient number.
LaTeX source of the formulas on this page
\[ 5005 = 5 \times 7 \times 11 \times 13 \]
Factor pairs of 5005
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5005 | 1 × 5005 = 5005 |
| 5 | 1001 | 5 × 1001 = 5005 |
| 7 | 715 | 7 × 715 = 5005 |
| 11 | 455 | 11 × 455 = 5005 |
| 13 | 385 | 13 × 385 = 5005 |
| 35 | 143 | 35 × 143 = 5005 |
| 55 | 91 | 55 × 91 = 5005 |
| 65 | 77 | 65 × 77 = 5005 |
Questions
What are the factors of 5005?
The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005. It has 16 factors.
What are the prime factors of 5005?
5, 7, 11, 13. As a product: 5 × 7 × 11 × 13.
How many factors does 5005 have?
5005 has 16 factors (8 factor pairs).
What is the sum of the factors of 5005?
8064.
Is 5005 a prime number?
No. It is divisible by 5, so 5005 = 5 × 1001.