## The Divisibility Rules

These rules let you test if one number is divisible by another, without having to do too much calculation!

The last digit is even (0,2,4,6,8)12

12

The sum of the digits is divisible by 3381 (3+8+1=12, and 12÷3 = 4)

217 (2+1+7=10, and 10÷3 = 3 1/3)

The last 2 digits are divisible by 413

70

The last digit is 0 or 517

80

The number is divisible by both 2

308 (it is even, but 3+0+8=11 and 11÷3 = 3 2/3)

The last three digits are divisible by 8109

216

The sum of the digits is divisible by 9

(Note: you can apply this rule to that answer again if you want)1629 (1+6+2+9=18, and again, 1+8=9)

2013 (2+0+1+3=6)

The number ends in 022

22

The number is divisible by both 3

648

(

524

(

Don't need to check by 4.)

__2:__The last digit is even (0,2,4,6,8)12

**8**is12

**9**is not**3:**The sum of the digits is divisible by 3381 (3+8+1=12, and 12÷3 = 4)

**Yes**217 (2+1+7=10, and 10÷3 = 3 1/3)

**No**__4:__The last 2 digits are divisible by 413

**12**is (12÷4=3)70

**19**is not**5:**The last digit is 0 or 517

**5**is80

**9**is not**6:**The number is divisible by both 2

*and*3114 (it is even, and 1+1+4=6 and 6÷3 = 2)**Yes**308 (it is even, but 3+0+8=11 and 11÷3 = 3 2/3)

**No**__8:__The last three digits are divisible by 8109

**816**(816÷8=102)**Yes**216

**302**(302÷8=37 3/4)**No****9:**The sum of the digits is divisible by 9

(Note: you can apply this rule to that answer again if you want)1629 (1+6+2+9=18, and again, 1+8=9)

**Yes**2013 (2+0+1+3=6)

**No****10:**The number ends in 022

**0**is22

**1**is not__12:__The number is divisible by both 3

*4***and**648

(

*By 3?*6+4+8=18 and 18÷3=6**Yes.***By 4?*48÷4=12 Yes)**Yes**524

(

*By 3?*5+2+4=11, 11÷3= 3 2/3 No.Don't need to check by 4.)

**No****Mr. Marks 6th Grade Class**

Mr. Marks 6th Grade Class at Ider School

1064 Crabapple Lane
Ider
AL
35981