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Divisibility Rules. How do we know when we can divide one number into another exactly?. Jenny Russell. Divisibility Rules (2). A number can be divided by 2 if the last digit is even. Divisibility Rules (3). a number is divisible by 3 if the sum of the digits is 3, 6 or 9.

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divisibility rules

Divisibility Rules

How do we know when we can divide one number into another exactly?

Jenny Russell

divisibility rules 2
Divisibility Rules (2)
  • A number can be divided by 2 if
  • the last digit is even
divisibility rules 3
Divisibility Rules (3)
  • a number is divisible by 3 if
  • the sum of the digits is 3, 6 or 9
divisibility rules 4
Divisibility Rules (4)
  • a number is divisible by 4 if
  • the number made by the last two digits can be divided by 4
divisibility rules 5
Divisibility Rules (5)
  • A number is divisible by 5 if
  • the last digit is a 5 or a 0
divisibility rules 6
Divisibility Rules (6)
  • A number can be divided by 6 if
  • the last digit is even and the sum of all the digits is 3, 6 or 9
divisibility rules 8
Divisibility Rules (8)
  • A number is divisible by 8 if
  • the number made by the last three digits will be divisible by 8
divisibility rules 9
Divisibility Rules (9)
  • A number is divisible by 9 if
  • the sum of all the digits will add to 9
divisibility rules 10
Divisibility Rules (10)
  • A number can be divided by 10 if
  • the last digit is a 0
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Divisibility Rules
  • A number can be divided by 7 if
  • ……………… can you find a rule?
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Divisibility Rules
  • 2, the last digit will be an even number
  • 3, all the digits will add to 3,6 or 9
  • 4, the number made by the last two digits can be divided by 4
  • 5, the last digit will be a 5 or 0
divisibility rules3
Divisibility Rules
  • 6, the last digit will be even and the digits will add to 3, 6 or 9
  • 8, the number made by the last three digits will be divisible by 8
divisibility rules4
Divisibility Rules
  • 9, the sum of the digits will be 9
  • 10, the last digit will be a 0
  • There is no easy test for 7, although some methods have been invented, however it is easier to use a pencil and paper method.
divisibility rules5
Divisibility Rules
  • Apply these rules to theses numbers:
  • 74,673,042
  • 444,555,448
  • 61,616,168
  • 732,510
  • 66,666,666
  • 179,131,590
practice
Practice
  • Go to this website to practice using divisibility rules:
  • http://www.vectorkids.com/vkdivisible.htm
  • Homework time!
  • Complete the TWO handouts, Multiplying and dividing by 10’s and the divisibility rules handout!