Chapter 5:Factors, Multiples, and Patterns
In Chapter 5, students will:
Gain familiarity with factors and multiples
Generate and analyze patterns
Divisibility Rules:
A number is divisible by these numbers if these rules apply:
2 – the number is even
3 - the sum of the digits is divisible by 3 (ex. the number 72 7+2= 9; 9 is a multiple of 3 so, 9 can be divided by 3 evenly)
5 – the number ends with a 0 or 5
6 - the number is even and divisible by 3
9 – the sum of the digits is divisible by 9
10 - the number ends with a 0
Vocabulary:
(use the equations 3 x 4=12 & 4 x 6=24 as the example)
factor – a number used to multiply (ex. 3 & 4 to make 12)
common factor – a factor used by 2 or more numbers ex. 4 is a common factor for 12 & 24)
multiple – the product of two numbers is a multiple of each number (ex. 12 is a multiple of 3; 12 is also a multiple of 4)
common multiple – a multiple of 2 or more numbers (ex. 12 & 24 are a common multiple of 4)
prime number – a number greater than 1 that has only 2 factors (1 & itself) (ex. 3 is a prime number)
composite number – a number greater than 1 that has more than 2 factors (ex. 4, 6, 12, 24 are all composite numbers)
Chapter 5 videos
Lesson 5.1 - Model Factors
Lesson 5.2 - Factors and Divisibility
Lesson 5.3 - Problem Solving: Common factors
Lesson 5.4 - Factors and Multiples
Lesson 5.5 - Prime and Composite Numbers
Lesson 5.6 - Algebra: Number Patterns