Page 214 - Basic College Mathematics with Early Integers

Vocabulary and Readiness Check

Use the choices below to fill in each blank.

cross products equivalent composite
simplest form prime factorization prime
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1. The number 40 equals 2 2 2 5 . Since each factor is prime, we call 2 2 2 5 the of 40.
2. A natural number, other than 1, that is not prime is called a(n) number.
3. A natural number that has exactly two different factors, 1 and itself, is called a(n) number.
11 11
4. In , since 11 and 48 have no common factors other than 1, is in .
48 48
5. Fractions that represent the same portion of a whole are called fractions.
5 15
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6. In the statement = , 5 36 and 12 15 are called .
12 36
Without dividing, answer the questions in Exercises 7 and 8.
7. Is 2430 divisible by 2? By 3? By 5? 8. Is 1155 divisible by 2? By 3? By 5?

Write the prime factorization of each number.

9. 15 10. 10 11. 6 12. 21

13. 4 14. 9

3.2 Exercise Set FOR EXTRA HELP

Objective Write the prime factorization of each number. See Examples 1 through 3.
1. 20 2. 12 3. 48 4. 75

5. 45 6. 64 7. 162 8. 128

9. 110 10. 130 11. 85 12. 93

13. 240 14. 836 15. 828 16. 504

Objective Write each fraction in simplest form. See Examples 4 through 9.

3 5 4 9
17. 18. 19. 20.
12 30 42 48

14 22 20 70
21. 22. 23. 24.
16 34 30 80
35 25 63 21
25. 26. 27. - 28. -
50 55 81 49

24 36 27 32
29. 30. 31. 32.
40 54 64 63
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