Data Source and Methodology
All calculations are based on standard number theory. For more information, visit Calculatorsoup.
The Algorithm Explained
To check if a number n is prime, test divisibility by all numbers up to the square root of n.
Glossary of Terms
- Prime Number: A natural number greater than 1 that is not a product of two smaller natural numbers.
- Composite Number: A natural number greater than 1 that is not prime.
How It Works: A Step-by-Step Example
For example, to determine if 11 is a prime number, check divisibility by numbers up to √11 (~3.32). Since 11 is not divisible by any of these, it is prime.
Frequently Asked Questions (FAQ)
What is a prime number?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
How do you calculate if a number is prime?
To determine if a number is prime, check if it is not divisible by any numbers other than 1 and itself.
Can negative numbers be prime?
No, negative numbers cannot be prime numbers. Prime numbers are positive integers greater than 1.
Why is 2 the only even prime number?
2 is the only even prime number because any other even number can be divided by 2, making them composite.
What is the smallest prime number?
The smallest prime number is 2.