Download Divisibility Rules

Ways to Check for Divisibility
A whole number is divisible by….
2
…if the last digit is
0, 2, 4, 6, 8.
These numbers are divisible by 2:
42; 38; 100,480; 13,626; 984
These numbers are not divisible by 2:
43; 39; 100,481; 13,625; 987
Your Turn
Are these numbers divisible by
2?
458
1279
759
555
1050
…if the last digit is
0, 2, 4, 6, 8.
A whole number is divisible by….
2
…if the last digit is
0, 2, 4, 6, 8.
3
…if the sum of its digits
are divisible by 3.
is NOT by 3,
9 is7divisible
divisible
by 3,
→
→
so
99
is
divisible
=
7
1
+
6
=
16
178
99 19 ++ 79 += 818 → 1 + 8 = 9
so 178 is NOT
by 3 too.
divisible by 3.
Your Turn
Are these numbers divisible by 3?
639
56
86
360
468
…if the sum of its digits
are divisible by 3.
A whole number is divisible by….
2
…if the last digit is
0, 2, 4, 6, 8.
3
…if the sum of its digits
are divisible by 3.
5
…if the last digit is
5 or 0.
These numbers are divisible by 5:
30; 125,425; 100,480; 586,625; 810
These numbers are not divisible by 5:
993; 29; 122,486; 13,637; 325,426
Your Turn
Are these numbers divisible by 5?
554
6,890
345
902
845
…if the last digit is
5 or 0.
A whole number is divisible by….
2
3
5
…if the last digit is
0, 2, 4, 6, 8.

are divisible by 3.

6

…if the number is
divisible by both 2 and 3.
…if the sum of its digits
…if the last digit is
5 or 0.
13,314 → 1 + 3 + 3 + 1 + 4 = 12
Since 13, 314 is divisible 2 and 3,
it is also divisible by 6.
12 is divisible
by 3, so 13,314
is divisible by 3
too.
Your Turn
Are these numbers divisible by 6?
897
258
630
345
84
…if the number is divisible
by both 2 and 3.

X

2
…if the last digit is
0, 2, 4, 6, 8.
…if the sum of its digits
3 are divisible by 3.
A whole number is divisible by….
…if the last digit is
…if the number is divisible
2
6 by both 2 and 3.
0, 2, 4, 6, 8.
…if the sum of its
…if the sum of its digits
…if the sum of its digits
3 are
digits
are
divisible
9
divisible by 3.
are divisible by 9.
by 3.
…if the last digit is
5
5 or 0.
774 → 7 + 823
=9
7 +4→= 818+→
= 13
2 +1 3+ 8
13 9is (and
NOT18) is
divisible
9,
divisible
by by
9, so
sois774
is
823
NOT
divisible
divisible
by by
9. 9
too.
Your Turn
Are these numbers divisible by 9?
5,778
398
48
198
4,905
…if the sum of its digits
are divisible by 9.
A whole number is divisible by….
2
…if the last digit is
0, 2, 4, 6, 8.
3
…if the sum of its digits
are divisible by 3.
5
…if the last digit is
5 or 0.
6
…if the number is
divisible by both 2 and 3.
9
…if the sum of its digits
are divisible by 9.
10 …if the last digit is 0.
These numbers are divisible by 10:
30; 125,960; 100,480; 584,320; 810
These numbers are not divisible by 10:
1,423; 369; 175,486; 16,897; 75,635
Your Turn
Are these numbers divisible by 10?
578
398
48
1,903
490
…if the last digit is 0.