Online Prime Factorization Calculator Tool

Prime & Composite Numbers

• A prime number, also known as a prime, is infinite in quantity. A natural number greater than 1 that cannot be divided evenly by any other natural number (prime) other than 1 and itself, in other words, it has no other factors besides 1 and itself; otherwise, it is called a composite number.
• According to the fundamental theorem of arithmetic, every integer greater than 1 is either a prime number itself or can be expressed as a product of a series of prime numbers; and if the order of these primes in the product is disregarded, the form written is unique. The smallest prime number is 2.
• A composite number, a mathematical term, is called a Composite number in English, referring to a natural number that, in addition to being divisible by 1 and itself, can also be divided by other numbers (excluding ). The opposite of this is a prime number (with factors only 1 and itself, such as 2, 3, 5, 7, 11, 13, etc., also known as prime numbers), and 1 is neither a prime nor a composite number. The smallest composite number is 4.
• One way to classify composite numbers is by calculating the number of their prime factors. A composite number with two prime factors is called a semiprime, and a composite number with three prime factors is called a sphenic number.

Conjectures

• The Goldbach conjecture: Can every even number greater than 2 be expressed as the sum of two prime numbers?
• The Twin Prime conjecture: Twin primes are pairs of primes that differ by 2, such as 11 and 13. Are there infinitely many twin primes?
• Does the Fibonacci sequence contain infinitely many prime numbers?
• Are there infinitely many Mersenne primes?
• ......

Prime Factorization Method

• Every composite number can be expressed as the product of several prime numbers. Each of these prime numbers is a factor of the composite number and is called a prime factor of the composite number. Prime factorization only applies to composite numbers.
• The process of expressing a composite number as the product of several prime numbers, that is, finding the prime factors, is called prime factorization.
• Prime factorization only applies to composite numbers. (Prime factorization is also known as prime factorization) To find the prime factors of a number, start dividing by the smallest prime number and continue until the result is a prime number. The formula for prime factorization is called the short division method, which is similar to the properties of division and can also be used to find the common factors of multiple numbers.
• This tool is implemented using a program.

About the Tool

• Every composite number can be expressed as the product of several prime numbers. Each of these prime numbers is a factor of the composite number and is called a prime factor of the composite number. Prime factorization only applies to composite numbers.
• The algorithm does not support large number calculations, but you can extend it to support large number calculations. The algorithm source is: https://github.com/hustcc/PrimeTable/tree/master/javascript