Is 189 a prime number?
No, 189 is not a prime number. It is divisible by 3: 189 = 3 × 63.
Is 189 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 √189 ≈ 13.75. If none of them divides 189, it is prime.
- 3
3 divides 189 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 189 = 3^{3} \times 7 \]Testing 189 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 189 ÷ 2 | leaves 1 |
| 3 | 189 ÷ 3 | divides exactly (63) |
| 5 | 189 ÷ 5 | leaves 4 |
| 7 | 189 ÷ 7 | divides exactly (27) |
| 11 | 189 ÷ 11 | leaves 2 |
| 13 | 189 ÷ 13 | leaves 7 |
Questions
Is 189 a prime number?
No, 189 is not a prime number. It is divisible by 3: 189 = 3 × 63.
What is the next prime after 189?
191.
What is the prime number before 189?
181.
What are the factors of 189?
1, 3, 7, 9, 21, 27, 63, 189.