The simplest algorithm to find the prime factors of a number is to keep on dividing the original number by prime factors until we get the remainder equal to 1. For example, prime factorizing the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1. Since we received the remainder, it cannot be further factorized. See more

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1) Write the Prime Factorization of each number. In other words, express each number as a product of numbers written in an exponential form. Obviously, the base will always be a prime

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself. For example, if we take the number 30. We know that 30 = 5 × 6

6 ÷ 2 = 3. Yes, that worked also. And 3 is a prime number, so we have the answer: 12 = 2 × 2 × 3. As you can see, every factor is a prime number, so the answer must be right. Note: 12 = 2 × 2 × 3 can also be written using exponents as 12 = 22 × 3.

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Prime Factorization by Trial Division Say you want to find the prime factors of 100 using trial division. Start by testing each integer to see if and how often it divides 100 and the subsequent quotients evenly. The resulting set of factors will be

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Prime factorization is the decomposition of a composite number into a product of prime numbers. There are many factoring algorithms, some more complicated than others. Trial division: One

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