Divisibility Rules for numbers

To find if a  number

is divisible by 2

 

Check to see if the

number is even.

 

It must end in a

0, 2, 4, 6, or 8.

You try!

Is 33 divisible by 2?
yes

no

Rule for 2

94 is even since ends

in a 4

Is 94 divisible by 2?

Yes 94 is divisble by 2!

 

To find if a  number

is divisible by 3

 

Check to see if the

sum of the digits is

divisible by 3.

You try!

Is 33 divisible by 3?
yes

no

Rule for 3

Since 9+4=13

and 13 is not evenly

divisible by 3,

94 is not evenly

divisible by 3

Is 94 divisible by 3?

To find if a  number

is divisible by 4

 

Check to see if the

last 2 digits are

divisible by 4.

You try!

Is 142 divisible by 4?
yes

no

Rule for 4

The last two digits are 20.

 

Since 20 is divisible by 4

120 is divisible by 4.

Is 120 divisible by 4?

To find if a  number

is divisible by 5

 

Check to see if the

last digit is a 0 or 5.

You try!

Is 241 divisible by 5?
yes

no

Rule for 5

Since the last digit is a 0,

120 is divisible by 5.

Is 120 divisible by 5?

To find if a  number

is divisible by 6

 

Check to see if it is

divisible by both 2

and 3.

You try!

Is 246 divisible by 6?
yes

no

Rule for 6

Since 126 is even it is divisible by 2.

 

Since 1+2+6=9 and 9 is divisible by 3,

126 is divisible by 3.

 

Since 126 is divisible by both

2 and 3 it is also divisible by 6. 

Is 126 divisible by 6?

To find if a  number

is divisible by 8

 

Check to see if the

last 3 digits are

divisible by 8.

You try!

Is 808 divisible by 8?
yes

no

Rule for 8

The last 3 digits are 888.

 

Since 888 is divisible by 8,

2,888 is divisible by 8. 

Is 2,888 divisible by 8?

To find if a  number

is divisible by 9

 

Check to see if the

sum of the digits is

divisible by 9.

You try!

Is 234 divisible by 9?
yes

no

Rule for 9

Since 1+4+4=9

and 9 is divisible by 3,

144 is evenly

divisible by 9.

Is 144 divisible by 9?

To find if a  number

is divisible by 10

 

Check to see if the

last digit is a 0.

You try!

Is 2401 divisible by 10?
yes

Rule for 10

 

no

Since the last digit is a 0,

120 is divisible by 10.

Is 120 divisible by 10?
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