what is the smallest prime greater then 200 is it
201
205
211
214
It wouldn't be an even number.
201 is evenly ivisible by 3.
All numbers ending in 0 or 5 are divisible by 5.
That leaves you with ine choice.
To find the smallest prime greater than 200 among the given numbers (201, 205, 211, 214), we need to check if each number is prime. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
Let's check each number:
1. 201: To determine if 201 is prime, we need to check if it is divisible by any number less than or equal to its square root. We calculate the square root of 201, which is approximately 14.18. We check if it is divisible by any prime numbers less than or equal to 14, such as 2, 3, 5, 7, 11, or 13. If any of these divide 201, then it is not prime. Upon checking, we find that 201 is divisible by 3, as 3 * 67 = 201. Therefore, 201 is not a prime number.
2. 205: Similar to the previous step, we calculate the square root of 205, which is approximately 14.32. We check if it is divisible by any prime numbers less than or equal to 14. After checking, we find that 205 is not divisible by any prime number less than 14. Hence, 205 has the potential to be a prime number.
3. 211: We repeat the same process. The square root of 211 is approximately 14.52. After checking, we find that 211 is not divisible by any prime number less than 14. Therefore, 211 has the potential to be a prime number.
4. 214: Again, we calculate the square root of 214, which is approximately 14.63. After checking, we find that 214 is divisible by 2 and 107. Thus, 214 is not a prime number.
Among the given numbers, 205 and 211 have the potential to be prime numbers. However, the smallest prime greater than 200 is 211. Therefore, the answer is 211.