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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

Preparing for Standardized Tests

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Exercise 2 Page 88

Find the greatest common factor. Then, divide the number of students by the GCF.

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Practice makes perfect

We have three different numbers and three different types of groups. We need to use the greatest common factor to break the groups up evenly and into as many groups as possible. Let's look at the prime factorization of each number.

Number	Prime factors
12	2 * 2 * 3
90	2 * 3 * 3 * 5
36	2 * 2 * 3 * 3

Let's find the greatest common factor by combining the common factors from all three numbers. We have common prime factors of 2 and 3. cc GCF(12,90,36) &=& 2* 3 &=&6 We can make 6 groups with the same number of teachers, students and parent volunteers in each group. Since there are 90 students, we can put 906 = 15 students in each group.

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Exercises p.88