41 Divisibility Rules

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4-1 Divisibility Rules

• Created by
• Leslie Lause
• Owensville Middle School
• 7th grade Mathematics

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Objectives

• MA-NO-1-D-07
• General Objective
• The students will classify and describe numeric
  relationships.
• Specific Objective
• The student will use whole number factors to
  describe the relationships between and among
  numbers.

3
Career Areas

• Landscape gardeners often arrange plants in rows
  to display them in an efficient and pleasing way

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Concept Map

5
Video

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Factor

• Numbers that go into another number evenly.
• Example
• Factors of 24 1,2,3,4,6,8,12,24
• Factors of 8 1,2,4,8
• Factors of 100 1,2,4,5,10,20,25,50,100

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Rules to check the divisibility of a number

• Divisibility rule of 2
• Number ends in an even number
• 0,2,4,6,8

• Divisibility rule of 3
• Sum of all digits is divisible by 3
• Example
• 2132136
• 632
• 3 is a factor of 213

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Rules to check the divisibility of a number

• Divisibility rule of 4
• If the last 2 digits are divisible by 4.
• Example
• 232 32 ? 4 6
• 4 is a factor
• 1273 73 ? 413.25
• 4 is not a factor

• Divisibility rule of 5
• If the last digit is a 5 or a 0, then the value
  is divisible by 5.
• Example
• 1,256 5 is not a factor
• 58,320 5 is a factor

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More divisibility rules

• Divisibility rule for 6
• If the number is divisible by both 2 and 3
• Examples
• 342 is even and 3429 so it is divisible by 6

• Divisibility rule for 8
• If the last 3 digits are divisible by 8
• Examples
• 1,232232 ?8 29
• 8 is a factor

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Even More divisibility rules

• Divisibility rule for 9
• If the sum of the digits is divisible by 9
• Ex. 531 , 5319 so 531 is divisible by 9

• Divisibility rule for 10
• If the digit in the ones place is 0
• Ex. 790 ends in 0 so it is divisible by 10

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On-line activities

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Assessment

• Glencoe Mathematics
• Applications and Connections
• course 2
• Pg 135 12-32 even

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Works Cited page

• Glencoe Mathematics
• Applications and Connections
• course 2
• http//www.learnalberta.ca/Launch.aspx?content2f
  content2fmesg2fhtml2fmath6web2fmath6shell.html