Divisibility Rules and Finding Factors Pre-Algebra Section 4-1.
Divisibility rules
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Transcript of Divisibility rules
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Divisibility Rules
How do we know when we can divide one number into another
exactly?
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PPT File Name: F:\Teaching\North East Carolina Prep School\2013 - 2014\Fourth\Math\Lesson Plans\Divisibility Rules
PPT URL: http://tinyurl.com/powcp68
Notes URL: http://tinyurl.com/mmmx6l7
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Vocabulary Divide: sharing or grouping a number into
equal parts
Divisible: can be divided without a remainder
Remainder: amount leftover after dividing a number
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More Vocabulary
Quotient: the result of dividing one number by another (the answer)
Even: divisible by two – Ends with: 0; 2; 4; 6; 8
Odd: not divisible by two– Ends with: 1; 3; 5; 7; 9
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More Vocabulary
Sum: total or whole amount (answer when adding)
Digit: symbol used to show a number– For example: 8; 16; 856
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Divisibility Rules (2)
A number can be divided by 2 if
the last digit is even
– For example 52
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Divisibility Rules (3)
a number is divisible by 3 if
the sum of the digits is 3, 6 or 9– For example
• 36– 3 + 6 = 9
– 9 ÷ 3 = 3
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Divisibility Rules (4)
a number is divisible by 4 if
the number made by the last two digits can be divided by 4
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Divisibility Rules (5)
A number is divisible by 5 if
the last digit is a 5 or a 0– For example
–75
– 90
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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– For example
• 126– 1 + 2 + 6 = 9
– 9 ÷ 3 = 3
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Divisibility Rules (8)
A number is divisible by 8 if
the number made by the last three digits will be divisible by 8– For example
• 152– 1 + 5 + 2 = 8
– 8 ÷ 8 = 1
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Divisibility Rules (9)
A number is divisible by 9 if
the sum of all the digits will add to 9
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Divisibility Rules (10)
A number can be divided by 10 if
the last digit is a 0– For example
• 60
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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
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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
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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.
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Take the Quiz
Take the Quizhttp://www.softschools.com/quizzes/math/divisibility_rules/quiz3261.html
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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