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Prime Number Checker
Check if a number is prime and discover all its factors
How Prime Numbers Work
Prime numbers are the building blocks of mathematics. They play a crucial role in number theory, cryptography, and computer science.
Enter any positive integer greater than 1
Click "Check Prime" to analyze the number
View whether the number is prime or composite
See all factors of the number
Understand the mathematical properties
Prime Number Properties:
Exactly two factors: 1 and the number itself
Greater than 1: 1 is not considered prime
Infinite: There are infinitely many prime numbers
Unique factorization: Every number has a unique prime factorization
Examples of Prime Numbers:
Small primes: 2, 3, 5, 7, 11, 13, 17, 19, 23
Larger primes: 97, 101, 103, 107, 109
Special primes: 2 (only even prime), Mersenne primes
Non-primes: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18
Real-World Applications:
Cryptography: RSA encryption uses large prime numbers
Computer Science: Hash functions and algorithms
Mathematics: Number theory and mathematical proofs
Education: Fundamental concept in mathematics