Fundamental Theorem of Arithmetic
Every integer larger than one can be uniquely expressed as a product of prime numbers, according to the fundamental theorem of arithmetic. It is sometimes referred to as the prime factorization theorem and the unique factorization theorem.
Every integer bigger than one is either a prime number or can be written as a product of primes, according to the theorem. For instance, 35 = 7 × 5 can be expressed as the product of its prime factors.
Carl Friedrich Gauss proved the theorem in 1801.
Prime and Composite Numbers
Prime and Composite Numbers are commonly used classifications of Natural Numbers based on divisibility and the number of Factors. A Prime Number has only two factors while Composite Numbers have more than two factors. This classification of Numbers makes the study of natural numbers more organized and convenient and is useful in a variety of situations like computer algorithms, biology, understanding of Number Theory, etc.
This article describes what are prime and composite numbers, the types of primes and composite numbers, and tests to check whether a given number is prime or not (primality tests). Finally, a few solved questions, and a few practice problems related to prime and composite numbers are presented.
Table of Content
- What are Prime and Composite Numbers?
- Types of Prime and Composite numbers
- Prime and Composite Numbers from 1 to 100
- Prime and Composite Numbers chart
- Difference between Prime and Composite Numbers
- Tests for Prime and Composite numbers
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