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Quick Math Homework Help
Common Core Standard:  4.OA.4   4th Grade Math
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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.

 

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

 

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

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

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

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

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

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

In order to be divisible by 10 the number must end in 0

Number

Divisible by 10

Why

220

Yes

Ends in 0

678

No

Does not end in 0

43780

Yes

Ends in 0

In order for a number to be divisible by 12 it must divisible by 3 and 4

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

 

 

If the last digit ends in 0 or 5 then it is divisible by 5​

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

 

 

 

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.

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

 

 

Divisibility Rules Chart

Use this divisibility rules chart to help determine if one number is divisible by another.

 

The divisibility rules for 3 require one to add the  numbers together and see if the

 product is divisible by three

Number

Divisible by 3 ?

Why

39

yes

9+3 = 12 which is divisible by 3 and passes the divisibility rules

162

yes

1+ 6+2 = 9 which is divisible by 3

67

no

6 + 7 = 15 which is not divisible by 3 therefore does not follow the divisibility rules

 

Divisibility Rules for 2

Is it divisible by 3?

Divisibility Rules for 5

Is it divisible by 4?

Divisibility Rules for 6, 8,9,10,12

Divisibility Rules Chart Helpful Videos