what does prime factorization mean in mathematics

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what does prime factorization mean in mathematics Prime factorization can be defined as a way of expressing a given number as the product of its prime factors If a prime number occurs more than once we write it using exponents

Any integer greater than 1 is either a prime number or can be written as a unique product of prime numbers up to the order of the factors This statement implies that if a number is not prime it has a prime number as its factor Prime factorisation is a method to find the prime factors of a given number say a composite number These factors are nothing but the prime numbers A prime number is a number which

what does prime factorization mean in mathematics

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what does prime factorization mean in mathematics
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Finding which prime numbers multiply together to make the original number A prime number is a whole number greater than 1 that can not be made by multiplying other whole numbers What is Prime Factorization Prime factorization is the process of writing a number as the product of prime numbers Prime numbers are the numbers that have only two factors 1 and the number itself For example 2 3 5 7 11

Prime factorization is the expression of a composite not prime number as the product of its prime factors Every composite number can be expressed with prime factors and has only one Any natural number greater than 1 can be uniquely written as a product of prime numbers This product is called the prime factorization The prime factorization of 60 can be

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This exercise introduces the Sieve of Eratosthenes an ancient algorithm for finding the primes less than a certain number n first created by the Greek mathematician The factorization of a number into its constituent primes also called prime decomposition Given a positive integer n 2 the prime factorization is written n p 1

The prime factorization of a given composite not prime quantity is the product of all its prime factors There are a number of ways to determine the prime factorization of a given quantity The prime factors of a positive integer are the prime numbers that divide that integer exactly The process of finding these numbers is called integer factorization or prime

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what does prime factorization mean in mathematics - Finding which prime numbers multiply together to make the original number A prime number is a whole number greater than 1 that can not be made by multiplying other whole numbers