Big Ideas Math: Modeling Real Life, Grade 6
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3. Prime Factorization
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Exercise 35 Page 19

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

2* 3* 5

Practice makes perfect

Let's start by recalling the definition of two important terms.

Term Definition Examples
Prime Number A number that has exactly two positive factors, $1$ and itself. $3,$ $5,$ $13$
Composite Number A number that is not a prime number. $4,$ $12,$ $63$

We want to write the prime factorization of $30.$ The prime factorization of a composite number is the number written as a product of its prime factors. We will use factor pairs and a factor tree to find the prime factorization of $30.$ The factor tree is complete when only prime factors appear in the product.

The prime factorization of $30$ is $2\t 3\t 5.$