Prime Number Checker
Check if a number is prime, find its factors, and analyze prime factorization. Perfect for students, teachers, and anyone working with number theory.
Prime Number Checker
Check if a number is prime, find its factors, and analyze prime factorization
Enter Number
Enter a number between 2 and 1,000,000
About Prime Numbers
• Prime: Number with exactly 2 factors (1 and itself)
• Composite: Number with more than 2 factors
• Factors: Numbers that divide evenly into another number
• Prime Factorization: Breaking down a number into prime factors
Common Prime Numbers
Understanding Prime Numbers
A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. Prime numbers are the building blocks of all natural numbers and play a fundamental role in number theory.
Our prime number checker provides comprehensive analysis including:
- Prime Status: Determines if a number is prime or composite
- Factor Analysis: Finds all factors and counts them
- Prime Factorization: Breaks down composite numbers into prime factors
- Nearby Primes: Identifies the next and previous prime numbers
Prime numbers have fascinated mathematicians for centuries and have important applications in cryptography, computer science, and modern technology.
How to Use This Checker
Prime Number Applications
Cryptography
Prime numbers are essential for RSA encryption, digital signatures, and secure communication protocols.
Computer Science
Used in hashing algorithms, random number generation, and efficient data structures.
Mathematics
Fundamental to number theory, algebra, and many advanced mathematical concepts and proofs.