Divisibility Rules: 4, 8, 11, and 12

Divisibility Rules: 4, 8, 11, and 12

by Honey Mae Rosales

​Divisible by 4:

​A number is divisible by 4 if its LAST TWO DIGITS are divisible by 4 or if it ENDS with TWO ZEROS.

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​716 -> 16÷4 = 4

848 -> 48÷4 = 12

1,014 -> 14÷4 = 3.5

504 -> 4÷4 = 1

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​200 -> two zeros

1800 -> two zeros

1,030 -> 10÷4= 7.5

2,o20 -> 20÷4= 5

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​* The numbers with check are divisible by 4.

​Divisible by 8:

​A number is divisible by 8 if its LAST THREE DIGITS are divisible by 8 or if it ENDS with THREE ZEROS.

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​596 -> 592÷8 = 74

1,848 ->848÷8 = 106

1,014 -> 14÷8 = 1.75

504 -> 504÷8 = 63

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​2000 -> three zeros

18000 -> three zeros

1,040 -> 40÷8= 5

2,020 -> 20÷8= 2.5

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​* The numbers with check are divisible by 8.

​Divisible by 11:

​A number is divisible by 11 if the DIFFERENCE of the SUM OF THE DIGITS in the EVEN and ODD places is a multiple of 11 or 0.

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​4653 -> divisible by 11

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​Sum (total) of even places numbers -> 4 + 5 = 9

​Sum (total) of odd places numbers -> 6+3 = 9

Difference of the two sums -> 9-9 = 0

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​6171 -> divisible by 11

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​Sum (total) of even places numbers -> 6 + 7 = 13

​Sum (total) of odd places numbers -> 1+1 = 2

Difference of the two sums -> 13-2 = 11

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​Divisible by 12:

​A number is divisible by 12 if it is DIVISIBLE by 3 and 4.

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​1092 -> divisible by 12

​Check for divisibility by 3:

Add all the digits: 1+0+9+2=12 -> 12÷3 = 4 (No remainder)

1092 is DIVISIBLE by 3

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Check for divisibility by 4: 

​Last 2 digits : 92 -> 92÷4 = 23 (No remainder)

1092 is DIVISIBLE by 4

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Since 1092 is divisible by both 3 and 4, therefore it is also divisible by 12.

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​Use the divisibility rules and choose the factor/s that the given number is divisible by. You are given 3 minutes to answer each number.

Multiple Select

220  is divisible by

• 4

• 8

• 11

• 12

Multiple Select

84  is divisible by

• 4

• 8

• 11

• 12

Multiple Select

1548  is divisible by

• 4

• 8

• 11

• 12

Multiple Choice

319  is divisible by

• 4

• 8

• 11

• 12

Multiple Select

756  is divisible by

• 4

• 8

• 11

• 12

Multiple Select

1968  is divisible by

• 4

• 8

• 11

• 12

Multiple Choice

253  is divisible by

• 4

• 8

• 11

• 12

Multiple Select

5472  is divisible by

• 4

• 8

• 11

• 12

Multiple Select

900  is divisible by

• 4

• 8

• 11

• 12

Multiple Choice

900  is divisible by

• 4

• 8

• 11

• 12