Is 171 a prime number?
No, 171 is not a prime number. It is divisible by 3: 171 = 3 × 57.
Is 171 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 √171 ≈ 13.08. If none of them divides 171, it is prime.
- 3
3 divides 171 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 171 = 3^{2} \times 19 \]Testing 171 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 171 ÷ 2 | leaves 1 |
| 3 | 171 ÷ 3 | divides exactly (57) |
| 5 | 171 ÷ 5 | leaves 1 |
| 7 | 171 ÷ 7 | leaves 3 |
| 11 | 171 ÷ 11 | leaves 6 |
| 13 | 171 ÷ 13 | leaves 2 |
Questions
Is 171 a prime number?
No, 171 is not a prime number. It is divisible by 3: 171 = 3 × 57.
What is the next prime after 171?
173.
What is the prime number before 171?
167.
What are the factors of 171?
1, 3, 9, 19, 57, 171.