'Prime factorizations' presentation slideshows

Module #8: Basic Number Theory

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Module #8: Basic Number Theory

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Module #8: Basic Number Theory

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Yonsei Univ. at Wonju Dept. of Mathematics ???? Discrete Mathematics Prof. Gab-Byung Chae

Yonsei Univ. at Wonju Dept. of Mathematics ???? Discrete Mathematics Prof. Gab-Byung Chae. Slides for a Course Based on the Text Discrete Mathematics & Its Applications (6 th Edition) by Kenneth H. Rosen. Module #8: Basic Number Theory. Rosen 5 th ed., ~31 slides, ~2 lectures.

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5.1

5.1. Number Theory. Number Theory. The study of numbers and their properties. The numbers we use to count are called the Natural Numbers or Counting Numbers. Factors. The natural numbers that are multiplied together to equal another natural number are called factors of the product.

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Write factor pairs for each number. Use divisibility tests to help you!

Write factor pairs for each number. Use divisibility tests to help you!. 40. 72. 57. 1 x 40. 1 x 72. 1 x 57. 2 x 20. 2 x 36. 3 x 19. 4 x 10. 3 x 24. 5 x 8. 4 x 18. 6 x 12. 8 x 9. Write factor pairs for each number. Use divisibility tests to help you!. 12. 20. 37. 1 x 12.

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Write factor pairs for each number. Use divisibility tests to help you!

Write factor pairs for each number. Use divisibility tests to help you!. 40. 72. 57. 1 x 40. 1 x 72. 1 x 57. 2 x 20. 2 x 36. 3 x 19. 4 x 10. 3 x 24. 5 x 8. 4 x 18. 6 x 12. 8 x 9. Write factor pairs for each number. Use divisibility tests to help you!. 12. 20. 37. 1 x 12.

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Prime Factorization.

Prime Factorization. Prime number Composite numbers Prime factorization Factor tree. Prime number. a number that has exactly two factors 1 and itself. 7 13 29 2. Composite number. A number that is not prime A number that has more than two factors 4 (1, 2, 4)

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Prime Factorization.

Prime Factorization. Prime number Composite numbers Prime factorization Factor tree. Prime number. a number that has exactly two factors 1 and itself. 7 13 29 2. Composite number. A number that is not prime A number that has more than two factors 4 (1, 2, 4)

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Greatest Common Factor

Greatest Common Factor. Greatest Common Factor. What is a Greatest Common Factor? The greatest common factor (GCF) of a group of numbers is the largest (greatest) of all the factors the numbers have in common. Example: What is greatest common factor of the following group? 8, 12, 20

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Thinking Mathematically

Thinking Mathematically. Number Theory: Prime and Composite Numbers. The Set of Natural Numbers. N = {1,2,3,4,5,6,7, 8, 9, 10, 11, ... }. Divisibility.

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Brain Warm-Up

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GREATEST COMMON FACTOR

GREATEST COMMON FACTOR. Eduardo Lira. Greatest common factor.

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Greatest Common Factor

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Simplifying Fractions

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Siemens Westinghouse Competition Math : Science : Technology National Finalist

Siemens Westinghouse Competition Math : Science : Technology National Finalist.

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