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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

Cumulative Practice

Exercise 6 Page 102

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

C

We are asked to determine which of the given numbers is a prime factor of 72. 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 572. 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 572. The factor tree is complete when only prime factors appear in the product.

The prime factorization of 572 is 2* 3* 11* 13. This means that 13 is a prime factor of 572 and the answer is C

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