Is 4016 a prime number?
No, 4016 is not a prime number. It is divisible by 2: 4016 = 2 × 2008.
Is 4016 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 √4016 ≈ 63.37. If none of them divides 4016, it is prime.
- 3
2 divides 4016 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4016 = 2^{4} \times 251 \]Testing 4016 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4016 ÷ 2 | divides exactly (2008) |
| 3 | 4016 ÷ 3 | leaves 2 |
| 5 | 4016 ÷ 5 | leaves 1 |
| 7 | 4016 ÷ 7 | leaves 5 |
| 11 | 4016 ÷ 11 | leaves 1 |
| 13 | 4016 ÷ 13 | leaves 12 |
| 17 | 4016 ÷ 17 | leaves 4 |
| 19 | 4016 ÷ 19 | leaves 7 |
| 23 | 4016 ÷ 23 | leaves 14 |
| 29 | 4016 ÷ 29 | leaves 14 |
| 31 | 4016 ÷ 31 | leaves 17 |
| 37 | 4016 ÷ 37 | leaves 20 |
Questions
Is 4016 a prime number?
No, 4016 is not a prime number. It is divisible by 2: 4016 = 2 × 2008.
What is the next prime after 4016?
4019.
What is the prime number before 4016?
4013.
What are the factors of 4016?
1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016.