Is 2015 a prime number?
No, 2015 is not a prime number. It is divisible by 5: 2015 = 5 × 403.
Is 2015 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √2015 ≈ 44.89. If none of them divides 2015, it is prime.
- 3
5 divides 2015 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2015 = 5 \times 13 \times 31 \]
Testing 2015 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2015 ÷ 2 | leaves 1 |
| 3 | 2015 ÷ 3 | leaves 2 |
| 5 | 2015 ÷ 5 | divides exactly (403) |
| 7 | 2015 ÷ 7 | leaves 6 |
| 11 | 2015 ÷ 11 | leaves 2 |
| 13 | 2015 ÷ 13 | divides exactly (155) |
| 17 | 2015 ÷ 17 | leaves 9 |
| 19 | 2015 ÷ 19 | leaves 1 |
| 23 | 2015 ÷ 23 | leaves 14 |
| 29 | 2015 ÷ 29 | leaves 14 |
| 31 | 2015 ÷ 31 | divides exactly (65) |
| 37 | 2015 ÷ 37 | leaves 17 |
Questions
Is 2015 a prime number?
No, 2015 is not a prime number. It is divisible by 5: 2015 = 5 × 403.
What is the next prime after 2015?
2017.
What is the prime number before 2015?
2011.
What are the factors of 2015?
1, 5, 13, 31, 65, 155, 403, 2015.