Section 2.2 Prime Numbers and Factorization 111 Section 2.2 Practice Exercises Study Skills Exercise In general, 2 to 3 hours of study time per week is needed for each 1 hour per week of class time. Based on the number of hours you are in class this semester, how many hours per week should you be studying? Vocabulary and Key Concepts 1. a. A of a number n is a nonzero whole number that divides evenly into n. b. A number is a whole number greater than 1 that has only two factors, itself and 1. c. A number is a whole number greater than 1 that is not prime. d. The factorization of a number n is the product of prime numbers that equals n. Review Exercises 2. Where would the number be located on a number line? 73 a. Between 0 and 1 b. Between 1 and 2 c. Between 2 and 3 For Exercises 3–5, write two fractions, one representing the shaded area and one representing the unshaded area. 3. 4. 5. 0 1 6. Write a fraction with numerator 6 and denominator 5. Is this fraction proper or improper? 7. Write a fraction with denominator 12 and numerator 7. Is this fraction proper or improper? 8. Write a fraction with denominator 6 and numerator 6. Is this fraction proper or improper? 27 23 5 9. Write the improper fraction as a mixed number. 10. Write the mixed number 6 as an improper fraction. Concept 1: Factors and Factorizations For Exercises 11–14, find two different factorizations of each number. (Answers may vary.) (See Example 1.) 11. 8 12. 20 13. 24 14. 14 Product 36 42 45 72 24 Factor 9 Factor 4 Difference 5 1 12 14 5 15. Find two factors whose product is the number in the top row and whose sum is the number in the bottom row. The first column is done for you as an example. Product 36 42 30 15 81 Factor 12 Factor 3 Sum 15 13 31 16 30 16. Find two factors whose product is the number in the top row and whose difference is the number in the bottom row.The first column is done for you as an example.
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