Is 8016 a prime number?
No, 8016 is not a prime number. It is divisible by 2: 8016 = 2 × 4008.
Is 8016 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 √8016 ≈ 89.53. If none of them divides 8016, it is prime.
- 3
2 divides 8016 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8016 = 2^{4} \times 3 \times 167 \]Testing 8016 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8016 ÷ 2 | divides exactly (4008) |
| 3 | 8016 ÷ 3 | divides exactly (2672) |
| 5 | 8016 ÷ 5 | leaves 1 |
| 7 | 8016 ÷ 7 | leaves 1 |
| 11 | 8016 ÷ 11 | leaves 8 |
| 13 | 8016 ÷ 13 | leaves 8 |
| 17 | 8016 ÷ 17 | leaves 9 |
| 19 | 8016 ÷ 19 | leaves 17 |
| 23 | 8016 ÷ 23 | leaves 12 |
| 29 | 8016 ÷ 29 | leaves 12 |
| 31 | 8016 ÷ 31 | leaves 18 |
| 37 | 8016 ÷ 37 | leaves 24 |
Questions
Is 8016 a prime number?
No, 8016 is not a prime number. It is divisible by 2: 8016 = 2 × 4008.
What is the next prime after 8016?
8017.
What is the prime number before 8016?
8011.
What are the factors of 8016?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016.