Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
1. Exponents
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Exercise 27 Page 324

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

3* 11^2

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. 2, 3, 5, 13
Composite Number A number that is not a prime number. 4, 12, 63

We want to write the prime factorization of 363. 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 363. The factor tree is complete when only prime factors appear in the product.

The prime factorization of 363 is 3* 11* 11 or 3* 11^2.