largest prime # under 100

What divides 97?

http://www.mathsisfun.com/prime_numbers.html

To find the largest prime number under 100, we can start by verifying if each number under 100 is prime. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

We can use a simple algorithm that checks whether a number is divisible by any number from 2 to the square root of the number. If it is divisible by any number other than 1 and itself, then it is not a prime number.

Here's how we can find the largest prime number under 100 using this algorithm:

1. Start with the number 99, which is the largest number under 100.
2. Check if 99 is divisible by any number from 2 to the square root of 99 (approximately 9.95). If it is divisible, then it is not a prime number. In this case, 99 is divisible by 3. So, it is not a prime number.
3. Move on to the next number, 98, and repeat the same process. Check if 98 is divisible by any number from 2 to the square root of 98 (approximately 9.9). Since 98 is divisible by 2, it is not a prime number.
4. Continue this process for each number, decrementing by 1, until we find a prime number.
5. Eventually, we will find that 97 is a prime number. It is not divisible by any number other than 1 and itself.
6. Therefore, the largest prime number under 100 is 97.

So, 97 is the largest prime number under 100.

Note: This method can be computationally expensive for larger numbers, but it is efficient enough for finding the largest prime number under a relatively small number like 100.