3. Prime Factorization
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The prime factorization of a composite number is the number written as a product of its prime factors.
2* 3* 5
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 $2\t 3\t 5.$