Is 217 a prime number?
No, 217 is not a prime number. It is divisible by 7: 217 = 7 × 31.
Is 217 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 √217 ≈ 14.73. If none of them divides 217, it is prime.
- 3
7 divides 217 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 217 = 7 \times 31 \]
Testing 217 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 217 ÷ 2 | leaves 1 |
| 3 | 217 ÷ 3 | leaves 1 |
| 5 | 217 ÷ 5 | leaves 2 |
| 7 | 217 ÷ 7 | divides exactly (31) |
| 11 | 217 ÷ 11 | leaves 8 |
| 13 | 217 ÷ 13 | leaves 9 |
Questions
Is 217 a prime number?
No, 217 is not a prime number. It is divisible by 7: 217 = 7 × 31.
What is the next prime after 217?
223.
What is the prime number before 217?
211.
What are the factors of 217?
1, 7, 31, 217.