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Divisibility Rules
Divisible – can be divided by evenly, without a remainder
Divisibility
Rule of:
2
3
4
5
6
9
10
Rule:
A number is divisible by 2 if it
is even.
Even numbers end in
2, 4, 6, 8, or 0
A number is divisible by 3 if the
sum of its digits is divisible by
3.
A number is divisible by 4 if the
last 2 digits of that number are
divisible by 4.
Only even numbers are divisible
by 4.
A number is divisible by 5 if the
last digit is 5 or 0 (if the
number ends in 5 or 0).
A number is divisible by 6 if it
is divisible by both 2 AND 3.
It is divisible by 6
1) If it is even
AND
2) If the sum of the digits
is divisible by 3.
A number is divisible by 9 if the
sum of the digits is divisible by
9.
A number is divisible by 10 if it
ends in a 0.
Example/Non-example:
Is 648 divisible by 2?
Yes, 648 is divisible by 2 because it ends in an 8, which makes it an
even number.
Is 427 divisible by 2?
No, 427 is not divisible by 2 because it is not an even number. It
does not end in 2, 4, 6, 8, or 0.
Is 438 divisible by 3?
Yes, 438 is divisible by 3 because 4+3+8=15, and 15 is divisible by 3.
Is 251 divisible by 3?
No, 251 is not divisible by 3 because 2+5+1=8, and 8 is not divisible
by 3.
Is 712 divisible by 4?
Yes, 712 is divisible by 4 because 12 (last 2 digits of 712) is
divisible by 4.
Is 422 divisible by 4?
No, 422 is not divisible by 2 because 22 is not divisible by 4.
Is 325 divisible by 5?
Yes, 325 is divisible by 5 because the last digit is 5.
Is 278 divisible by 5?
No, 278 is not divisible by 5 because 278 does not end in a 5 or a 0.
Is 732 divisible by 6?
Yes, 732 is divisible by 6 because it is even (ends in 2), AND
because 7+3+2=12, and 12 is divisible by 3.
Is 466 divisible by 6?
No, 466 is not divisible by 6. It is an even number, but it is not
divisible by 3 because 4+6+6=16 and 16 is not divisible by 3.
Is 738 divisible by 9?
Yes, 738 is divisible by 9 because 7+3+8=18, and 18 is divisible by 9.
Is 456 divisible by 9?
No, 456 is not divisible by 9 because 4+5+6=15, and 15 is not
divisible by 9.
Is 670 divisible by 10?
Yes, 670 is divisible by 10 because the last digit is 0.
Is 465 divisible by 10?
No, 465 is not divisible by 10 because 465 does not end in 0.
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