Basic Mathematics for College Students

82 Chapter 1 Whole Numbers Prime Numbers A prime numberis a whole number greater than 1 that has only 1 and itself as factors. T ...

One method for finding the prime factorization of a number is called a factor tree.The factor trees shown below are used to find ...

84 Chapter 1 Whole Numbers Caution! Remember that there is a difference between the factorsand the prime factorsof a number. For ...

1.7 Prime Factors and Exponents 85 5 Use exponential notation. In Example 6, we saw that the prime factorization of 280 is Becau ...

86 Chapter 1 Whole Numbers a. Read as “7 to the second power” or “7 squared.” The base is 7 and the exponent is 2. Write the bas ...

1.7 Prime Factors and Exponents 87 We can evaluate this exponential expression using the exponential key on a scientific calcula ...

Which of the whole numbers, and 10, could be at the top of this factor tree? ? Prime Prime number number Fill in the blanks t ...

The prime factorization of a number is given. What is the number? See Example 9. APPLICATIONS PERFECT ...

90 Chapter 1 Whole Numbers EXAMPLE (^1) Find the first eight multiples of 6. StrategyWe will multiply 6 by and 8. WHYThe multipl ...

1.8 The Least Common Multiple and the Greatest Common Factor 91 The Least Common Multiple (LCM) The least common multiple (LCM)o ...

92 Chapter 1 Whole Numbers Solution The 1st multiple of 10: 10 is divisible by 2, but not by 3. Find the next multiple. The 2nd ...

1.8 The Least Common Multiple and the Greatest Common Factor 93 Finding the LCM Using Prime Factorization To find the least comm ...

The greatest exponent on the factor 2 is 3. The greatest exponent on the factor 3 is 1. The greatest exponent on the factor 5 is ...

1.8 The Least Common Multiple and the Greatest Common Factor 95 3 Find the GCF by listing factors. We have seen that two whole n ...

96 Chapter 1 Whole Numbers In Example 7, we found that the GCF of 18 and 45 is 9. Note that 9 is the greatest number that divide ...

1.8 The Least Common Multiple and the Greatest Common Factor 97 EXAMPLE (^9) Find the GCF of 8 and 15. StrategyWe will begin by ...

98 Chapter 1 Whole Numbers b.How many of each type of item will be in each gift pack? Now TryProblem 93 Solution a.To find the G ...

What is the greatest number of times a. 2 appears in any one factorization? b. 3 appears in any one factorization? c. 5 appears ...

Find the GCF of the given numbers.See Example 8. Find the GCF of the given numbers.See Example 9. ...

WRITING Explain how to find the LCM of 8 and 28 using prime factorization. Explain how to find the GCF of 8 and 28 using prime ...