![]() ![]() One method for finding the prime factors of a composite number is trial division. There are many factoring algorithms, some more complicated than others. Prime factorization is the decomposition of a composite number into a product of prime numbers. As an example, the number 60 can be factored into a product of prime numbers as follows:Īs can be seen from the example above, there are no composite numbers in the factorization. This theorem states that natural numbers greater than 1 are either prime, or can be factored as a product of prime numbers. Prime numbers are widely used in number theory due to the fundamental theorem of arithmetic. Examples of this include numbers like, 4, 6, 9, etc. Numbers that can be formed with two other natural numbers, that are greater than 1, are called composite numbers. An example of a prime number is 7, since it can only be formed by multiplying the numbers 1 and 7. Prime numbers are natural numbers (positive whole numbers that sometimes include 0 in certain definitions) that are greater than 1, that cannot be formed by multiplying two smaller numbers. Related Factor Calculator | Common Factor Calculator ![]()
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