what is all the prime numbers between 15 and 25
To find all the prime numbers between 15 and 25, you can follow these steps:
1. Identify the range: In this case, the range is between 15 and 25.
2. Check each number within the range: Starting from 15 and ending at 25, examine each number to determine if it is a prime number.
3. Determine if the number is prime: A prime number is a positive integer greater than 1 that has no divisors other than 1 and itself. To check if a number is prime, divide it only by numbers from 2 up to the square root of the number, and if at any point you find a divisor, it is not prime.
Using these steps, let's find the prime numbers between 15 and 25:
Starting with 15, we check if it is divisible by any numbers between 2 and the square root of 15 (which is approximately 3.87). Since 15 is divisible by 3, it is not a prime number.
Next, we move on to 16, but since it is an even number greater than 2, it is not a prime number.
17: Checking if 17 is divisible by any numbers between 2 and the square root of 17 (which is approximately 4.12), we find that it is not divisible by any other number. Therefore, 17 is a prime number.
18: Since 18 is divisible by 2 and 3, it is not a prime number.
19: Similar to 17, we check if it is divisible by any numbers between 2 and the square root of 19 (which is approximately 4.36). As it is not divisible by any other number, 19 is a prime number.
20: Since 20 is divisible by 2 and 5, it is not a prime number.
21: It is divisible by 3 and 7, so it is not prime.
22: Since 22 is divisible by 2 and 11, it is not a prime number.
23: Again, we check if it is divisible by any numbers between 2 and the square root of 23 (which is approximately 4.8). As it is not divisible by any other number, 23 is a prime number.
24: It is divisible by 2, 3, 4, 6, and 8, so it is not a prime number.
25: Since 25 is divisible by 5, it is not a prime number.
Therefore, the prime numbers between 15 and 25 are 17 and 19.