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Divisibility
Rules
Divisible
The ability to be evenly
divided. There will be
no remainder.
Example:
15 is divisible by 3 because
you can divide those 2
numbers evenly without a
remainder.
Divisibility Rules
help you decide if a
number is a factor of
another number.
Divisibility Rules
Is 4 a factor of 64? We can
use the divisibility rules to
help us decide!
Two:
A number is evenly
divisible by 2 if it is even.
Even numbers end in
0, 2, 4, 6, and 8.
Two:
(even numbers)
Decide if the following numbers
are divisible by two.
Yes!
105
No!
98
Yes!
87
No!
No!
38
Yes!
Three:
A number is evenly
divisible by 3 if the sum of
all the digits is a multiple of
3.
Example:
45 is divisible by 3 because…
4 + 5 = 9 and 9 is a multiple of 3!
Three:
(sum of all digits is a multiple of 3)
Decide if the following numbers
are divisible by three.
912
Yes!
Yes!
47
103
No!
No!
Yes!
94
No!
Four:
A number is evenly divisible by 4
if the number formed by the
last two digits are divisible by 4.
Example:
312 is divisible by 4 because…
The last two digits are 12 and 12 is
divisible by 4!
Four:
(last two digits are a multiple of 4)
Decide if the following numbers
are divisible by four.
114
332
No!
Yes!
Yes!
911
No!
524
Yes!
Five:
A number is evenly divisible by 5
if it ends in a 5 or a 0.
Example:
930 is divisible by 5 because…
It ends in a zero!
Five: (ends in a 5 or 0)
Decide if the following numbers
are divisible by five.
Yes!
No!
Yes!
Yes!
No!
Yes!
Six:
A number is evenly divisible by 6
if it is divisible by both 2 and 3!
Follow the rules for BOTH! 
Example:
84 is divisible by 6 because…
It is even AND is divisible by 3 because 8 +
4 = 12 and 12 is a multiple of 3!
Six: (follows rules of 2 and 3)
Decide if the following numbers
are divisible by six.
Yes!
Yes!
Yes!
No!
Yes!
No!
Nine:
A number is evenly divisible by 9
if the sum of the digits is a
multiple of 9!
Example:
891 is divisible by 9 because…
8 + 9 + 1 = 18 and 18 is a multiple of 9!
Nine:
Sum of all digits is a multiple of 9
Decide if the following numbers
are divisible by nine.
N
o!
27
71
Yes! Yes!
53
No!
81
Yes!
Yes!
Ten:
A number is evenly divisible by 10
if it ends in a zero!
Example:
870 is divisible by 10 because it ends in
a zero!
Ten:
Ends in a zero
Decide if the following numbers
are divisible by ten.
604
No!
Yes!
No!
320
No!
880
41
Yes!
Yes!