Download Math 10C Lesson 3.1: Factors and Multiples of Whole Numbers

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Math 10C
Lesson 3.1: Factors and Multiples of Whole Numbers
Definitions:
Factor: _______________________________________________________________________
Prime Number: _________________________________________________________________
Composite Number: _____________________________________________________________
Prime Factorization: ____________________________________________________________
Greatest Common Factor: ________________________________________________________
Least Common Multiple: ________________________________________________________
Determining the Prime Factors of a Whole Number
Example: Write the prime factorization of 3300.
Method 1: Draw a Factor Tree
Method 2: Use repeated division of prime factors
Determining the Greatest Common Factor
Example: Determine the greatest common factor of 126 and 144.
Method: Prime Factorization (Select common factors and multiply together.)
Determining the Least Common Multiple
Example: Determine the least common multiple of 28, 42 and 63.
Method 1: List multiples of each number until the same multiple appears in all lists.
Method 2: Prime Factorization
Solving Problems
1. What is the side length of the smallest square that could be tiled with rectangles that
measure 16 cm by 40 cm? Assume that rectangles cannot be cut. Sketch the square and
rectangles.
Assignment: Page 140 # 3-6bd, 7, 8-11bd, 12, 13 17, 18, 19
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