Why is 89 a prime number?

Excuse me, but could you please clarify why 89 is considered a prime number? I understand that a prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself, but I'm curious to know how exactly 89 fits this definition. Is there a specific reason why 89 doesn't have any other divisors besides 1 and itself, or is it simply a matter of checking every number up to 89 to see if it divides evenly? I'm interested in understanding the mathematical properties that make 89 a prime number.