Is 7011 a prime number?
No, 7011 is not a prime number. It is divisible by 3: 7011 = 3 × 2337.
Is 7011 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 √7011 ≈ 83.73. If none of them divides 7011, it is prime.
- 3
3 divides 7011 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7011 = 3^{2} \times 19 \times 41 \]Testing 7011 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7011 ÷ 2 | leaves 1 |
| 3 | 7011 ÷ 3 | divides exactly (2337) |
| 5 | 7011 ÷ 5 | leaves 1 |
| 7 | 7011 ÷ 7 | leaves 4 |
| 11 | 7011 ÷ 11 | leaves 4 |
| 13 | 7011 ÷ 13 | leaves 4 |
| 17 | 7011 ÷ 17 | leaves 7 |
| 19 | 7011 ÷ 19 | divides exactly (369) |
| 23 | 7011 ÷ 23 | leaves 19 |
| 29 | 7011 ÷ 29 | leaves 22 |
| 31 | 7011 ÷ 31 | leaves 5 |
| 37 | 7011 ÷ 37 | leaves 18 |
Questions
Is 7011 a prime number?
No, 7011 is not a prime number. It is divisible by 3: 7011 = 3 × 2337.
What is the next prime after 7011?
7013.
What is the prime number before 7011?
7001.
What are the factors of 7011?
1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011.