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The divisibility rules for 2 are simple. If the last digit of the number is even it is divisible by 2.
So if the number ends in a 0, 2,4,6,8 it is divisible by 2.
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Number |
Divisible |
Why? |
|
66 |
yes |
Ends in 6 which is an even number |
|
203 |
No |
3 is not divisible by 2 |
|
48 |
yes |
Ends in 8 which is divisible by 2 |
Divisibility Rules for 6, 8, 9, 10,
Divisibility Rules for 2, 3. 4,and 5
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In order for a number to be divisible by 6 the number must be an even number and,
If you add the digits together this number must be divisible by 3 |
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|
Number |
Divisible by 6? |
Why |
|
72 |
Yes |
72 is an even number and 7+2=9 is divisible by 3 |
|
357 |
No |
The number is not even. |
|
138 |
Yes |
The number is even and 1+3+8 =12 is divisible by 3 |
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In order for a number to be divisible by 8 look at the last three digits and if this number is divisible by 8 then the entire number is divisible by 8 |
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|
Number |
Divisible by 8? |
Why |
|
3648 |
Yes |
648/8 = 81 so the number formed by the last three digits is divisible by 8 |
|
5679 |
No |
679 is not divisible by 8 so the entire number is not divisible by 8 |
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In order for a number to be divisible by 9 simply add the digits together and if this number is divisible by 3 and 9 then the entire number is divisible by 9 |
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Number |
Divisible by 9? |
Why |
|
234 |
Yes |
2+3+4 = 9 which is divisible by 3 and 9 |
|
897 |
No |
8+9+7 = 24 which is not divisible 9 |
|
561 |
Yes |
5+6+1 = 12 which is divisible by 3 and 9 |
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In order to be divisible by 10 the number must end in 0 |
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|
Number |
Divisible by 10 |
Why |
|
220 |
Yes |
Ends in 0 |
|
678 |
No |
Does not end in 0 |
|
43780 |
Yes |
Ends in 0 |
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In order for a number to be divisible by 12 it must divisible by 3 and 4 |
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|
Number |
Divisible by 12? |
Why |
|
1044 |
Yes |
Is the number divisible by 3 ? 1+4+4=9 which is divisible by 3 and the last two digits 44 is divisible by 4 |
|
204 |
Yes |
4+2 =6 which is divisible by 3 and the last two digits 04 is divisible by 4 |
|
878 |
No |
The sum of the numbers 8+7+8 = 23 is not divisible by 3 |
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If the last digit ends in 0 or 5 then it is
divisible by 5 |
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|
Number |
Divisible by 5 ? |
Why |
|
55 |
Yes |
55/5 =11 Ends in 5 |
|
456 |
No |
456/5 = 91.2 Ends in 6 |
|
650 |
yes |
650/5 = 130 Ends in 0 |
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You have two choices 1. If you combine the last two digits together is their sum divisible by 4? If so, the entire number is divisible by 4 2. Divide the number by 2, and if the sum is even then the number is divisible by four. |
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|
Number |
Divisible by 4 ? |
Why |
|
56 |
Yes |
56/2 = 28 and it is even
|
|
786 |
No |
786/2 = 393 which is odd or 86 is not divisible by 4 |
|
128 |
yes |
128/2 = 64 which is even
or 28 is divisible by 4
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Divisibility Rules Chart
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The divisibility rules for 3 require one to add the numbers together and see if the product is divisible by three |
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|
Number |
Divisible by 3 ? |
Why |
|
39 |
yes |
9+3 = 12 which is divisible by 3 and passes the divisibility rules |
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162 |
yes |
1+ 6+2 = 9 which is divisible by 3 |
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67 |
no |
6 + 7 = 15 which is not divisible by 3 therefore does not follow the divisibility rules |