Factors of 2015
The factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2015 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2015 ≈ 44.89; 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 + 5 + 13 + 31 + 65 + 155 + 403 + 2015 = 2688. Without 2015 itself that is 673, so 2015 is a deficient number.
LaTeX source of the formulas on this page
\[ 2015 = 5 \times 13 \times 31 \]
Factor pairs of 2015
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2015 | 1 × 2015 = 2015 |
| 5 | 403 | 5 × 403 = 2015 |
| 13 | 155 | 13 × 155 = 2015 |
| 31 | 65 | 31 × 65 = 2015 |
Questions
What are the factors of 2015?
The factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015. It has 8 factors.
What are the prime factors of 2015?
5, 13, 31. As a product: 5 × 13 × 31.
How many factors does 2015 have?
2015 has 8 factors (4 factor pairs).
What is the sum of the factors of 2015?
2688.
Is 2015 a prime number?
No. It is divisible by 5, so 2015 = 5 × 403.