Is 7123 a prime number?
No, 7123 is not a prime number. It is divisible by 17: 7123 = 17 × 419.
Is 7123 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 √7123 ≈ 84.40. If none of them divides 7123, it is prime.
- 3
17 divides 7123 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7123 = 17 \times 419 \]
Testing 7123 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7123 ÷ 2 | leaves 1 |
| 3 | 7123 ÷ 3 | leaves 1 |
| 5 | 7123 ÷ 5 | leaves 3 |
| 7 | 7123 ÷ 7 | leaves 4 |
| 11 | 7123 ÷ 11 | leaves 6 |
| 13 | 7123 ÷ 13 | leaves 12 |
| 17 | 7123 ÷ 17 | divides exactly (419) |
| 19 | 7123 ÷ 19 | leaves 17 |
| 23 | 7123 ÷ 23 | leaves 16 |
| 29 | 7123 ÷ 29 | leaves 18 |
| 31 | 7123 ÷ 31 | leaves 24 |
| 37 | 7123 ÷ 37 | leaves 19 |
Questions
Is 7123 a prime number?
No, 7123 is not a prime number. It is divisible by 17: 7123 = 17 × 419.
What is the next prime after 7123?
7127.
What is the prime number before 7123?
7121.
What are the factors of 7123?
1, 17, 419, 7123.