Prentice Hall Algebra 1

Skills Handbook

Prime Numbers and Composite Numbers

A prime number is a whole number greater than 1 that has exactly two factors, the number 1 and itself.

Prime number 2 5 17 29
Factors 1, 2 1, 5 1, 17 1, 29

A composite number is a number that has more than two factors. The number 1 is neither prime nor composite.

Composite number 6 15 48
Factors 1, 2, 3, 6 1, 3, 5, 15 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

You can use a factor tree to find the prime factors of a number. When all the factors are prime numbers, it is called the prime factorization of the number.

Exercises

Is each number prime or composite?

  1. 9
  2. 16
  3. 34
  4. 61
  5. 7
  6. 13
  7. 12
  8. 40
  9. 57
  10. 64
  11. 120
  12. 700

List all the factors of each number.

  1. 46
  2. 32
  3. 11
  4. 65
  5. 27
  6. 29

Use a factor tree to write the prime factorization of each number.

  1. 18
  2. 20
  3. 27
  4. 54
  5. 64
  6. 96

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Table of Contents

Prentice Hall Algebra 1 Chapter 1 Foundations for Algebra Chapter 2 Solving Equations Chapter 3 Solving Inequalities Chapter 4 An Introduction to Functions Chapter 5 Linear Functions Chapter 6 Systems of Equations and Inequalities Chapter 7 Exponents and Exponential Functions Chapter 8 Polynomials and Factoring Chapter 9 Quadratic Functions and Equations Chapter 10 Radical Expressions and Equations Chapter 11 Rational Expressions and Functions Chapter 12 Data Analysis and Probability Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments