106 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division 89. 90. 91. 92. 93. 94. 0 1 2 Expanding Your Skills 95. True or false? Whole numbers can be written both as proper and improper fractions. nm mn 96. True or false? Suppose m and n are nonzero numbers, where m n. Then is an improper fraction. 97. True or false? Suppose m and n are nonzero numbers, where m n. Then is a proper fraction. 98. True or false? Suppose m and n are nonzero numbers, where m n. Then n is a proper fraction. Section 2.2 Prime Numbers and Factorization 1. Factors and Factorizations Recall from Section 1.5 that two numbers multiplied to form a product are called factors. For example, 2 3 6 indicates that 2 and 3 are factors of 6. Likewise, because , the numbers 1 and 6 are factors of 6. In general, a factor of a number n is a nonzero whole number that divides evenly into n. 2 3 1 6 1 6 6 The products and are called factorizations of 6. In general, a factorization of a number n is a product of factors that equals n. Finding Factorizations of a Number Find four different factorizations of 12. Solution: 12 μ 1 12 2 6 3 4 2 2 3 Example 1 TIP: Notice that a factorization may include more than two factors. Answer 1. For example: 1 18 2 9 3 6 2 3 3 3m 3 0 1 2 2 5 3 0 1 2 7 0 1 2 5 7 6 0 1 5 0 1 6 2 3 Concepts 1. Factors and Factorizations 2. Divisibility Rules 3. Prime and Composite Numbers 4. Prime Factorization 5. Identifying All Factors of a Whole Number Skill Practice 1. Find four different factorizations of 18.
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