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Prime Factorization

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What are factors? Factors are whole numbers multiplied together to make a product. (A number is divisible by its factors.) 2 x 3 = 6 product factors

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**Example 1: List all the factors of each number.**

18 1 x 18 Start by listing all 2 x 9 the pairs of factors 3 x 6 The factors of 18 are: 1, 2, 3, 6, 9, and 18

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**Example 1: List all the factors of each number.**

13 1 x 13 Start by listing all the pairs of factors The factors of 13 are: 1 and 13, which makes 13 a prime number

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**What is prime factorization?**

The prime factorization of a number is the number written as the product of its prime factors.

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**Example 2: Write the prime factorization of each number.**

Use a factor tree: 36 *Start with any two factors you think of * then keep using factors until you get only primes The prime factorization of 36 is: 22.32

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**Example 2: Write the prime factorization of each number.**

(B) Use a ladder diagram: 2 I 54 * Start with the 3 I 27 smallest 3 I 9 prime and 3 divide The prime factorization of 54 is: =

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