Is 4012 a prime number?
No, 4012 is not a prime number. It is divisible by 2: 4012 = 2 × 2006.
Is 4012 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 √4012 ≈ 63.34. If none of them divides 4012, it is prime.
- 3
2 divides 4012 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4012 = 2^{2} \times 17 \times 59 \]Testing 4012 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4012 ÷ 2 | divides exactly (2006) |
| 3 | 4012 ÷ 3 | leaves 1 |
| 5 | 4012 ÷ 5 | leaves 2 |
| 7 | 4012 ÷ 7 | leaves 1 |
| 11 | 4012 ÷ 11 | leaves 8 |
| 13 | 4012 ÷ 13 | leaves 8 |
| 17 | 4012 ÷ 17 | divides exactly (236) |
| 19 | 4012 ÷ 19 | leaves 3 |
| 23 | 4012 ÷ 23 | leaves 10 |
| 29 | 4012 ÷ 29 | leaves 10 |
| 31 | 4012 ÷ 31 | leaves 13 |
| 37 | 4012 ÷ 37 | leaves 16 |
Questions
Is 4012 a prime number?
No, 4012 is not a prime number. It is divisible by 2: 4012 = 2 × 2006.
What is the next prime after 4012?
4013.
What is the prime number before 4012?
4007.
What are the factors of 4012?
1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012.