Is 9671 a prime number?
No, 9671 is not a prime number. It is divisible by 19: 9671 = 19 × 509.
Is 9671 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 √9671 ≈ 98.34. If none of them divides 9671, it is prime.
- 3
19 divides 9671 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9671 = 19 \times 509 \]
Testing 9671 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9671 ÷ 2 | leaves 1 |
| 3 | 9671 ÷ 3 | leaves 2 |
| 5 | 9671 ÷ 5 | leaves 1 |
| 7 | 9671 ÷ 7 | leaves 4 |
| 11 | 9671 ÷ 11 | leaves 2 |
| 13 | 9671 ÷ 13 | leaves 12 |
| 17 | 9671 ÷ 17 | leaves 15 |
| 19 | 9671 ÷ 19 | divides exactly (509) |
| 23 | 9671 ÷ 23 | leaves 11 |
| 29 | 9671 ÷ 29 | leaves 14 |
| 31 | 9671 ÷ 31 | leaves 30 |
| 37 | 9671 ÷ 37 | leaves 14 |
Questions
Is 9671 a prime number?
No, 9671 is not a prime number. It is divisible by 19: 9671 = 19 × 509.
What is the next prime after 9671?
9677.
What is the prime number before 9671?
9661.
What are the factors of 9671?
1, 19, 509, 9671.