Is 2016 a prime number?
No, 2016 is not a prime number. It is divisible by 2: 2016 = 2 × 1008.
Is 2016 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 √2016 ≈ 44.90. If none of them divides 2016, it is prime.
- 3
2 divides 2016 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2016 = 2^{5} \times 3^{2} \times 7 \]Testing 2016 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2016 ÷ 2 | divides exactly (1008) |
| 3 | 2016 ÷ 3 | divides exactly (672) |
| 5 | 2016 ÷ 5 | leaves 1 |
| 7 | 2016 ÷ 7 | divides exactly (288) |
| 11 | 2016 ÷ 11 | leaves 3 |
| 13 | 2016 ÷ 13 | leaves 1 |
| 17 | 2016 ÷ 17 | leaves 10 |
| 19 | 2016 ÷ 19 | leaves 2 |
| 23 | 2016 ÷ 23 | leaves 15 |
| 29 | 2016 ÷ 29 | leaves 15 |
| 31 | 2016 ÷ 31 | leaves 1 |
| 37 | 2016 ÷ 37 | leaves 18 |
Questions
Is 2016 a prime number?
No, 2016 is not a prime number. It is divisible by 2: 2016 = 2 × 1008.
What is the next prime after 2016?
2017.
What is the prime number before 2016?
2011.
What are the factors of 2016?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016.