Divisibility Rules
For Division
Reasons for Divisibility Rules

Knowing the divisibility rules
makes it easier to solve division
problems.

Knowing the divisibility rules
also makes it easier to know if a
there will be a remainder.
Divisibility Rule of 2

Any number ending in 0,2,4,6,
or 8 is divisible by 2.

Example: 468 divided by 2= 234
468 ends with 8 (an even
number), then the entire number
is divisible by 2.
*also divisible by 3 and 9


Divisibility Rule of 3

Any number that gives a sum
divisible by 3.
Example: 690 divided by 3= 230
 6+9+0=15
15 divided by 3= 5 so 690 is
divided by 3.
*also divisible by 2 and 5

Divisibility Rule for 5

Any number that ends with 0 or
5 is divisible by 5.

Example: 5, 280 divided by
5=1,053
5,280 ends with 0, so the entire
number (5,280) is divisible by 5.
*also divisible by 2,3, and 5


Divisibility Rule of 6

If the number is divisible by 2
and 3, it is divisible by 6.

Example 216 is an even
number, so its divisible by 2 and
it’s sum is 9, so it is divisible by
3.
Divisibility Rule of 9

Any number that gives a sum
divisible by 9.

Example: 6,741 divided by
9=749
6+7+4+1=18 (18/2=9, therefore
the entire number (6,741) is
divisible by 9).
*also divisible by 3


Divisibility Rule of 10

Any number that ends in 0 is
divisible by 10.


Example: 980 divided by 10= 98
980 ends with 0, so it is divisible
by 10.

*also divisible by 2 and 5
Try these…
1,458
682
945
2,700
681
Divisible
by
Divisible
by
2
3
Divisible by
Divisible by
Divisible by
Divisible by
5
6
9
10