Divisibility RulesDivisibility Rules

22

Even number (ends in 0, 2, 4, 6, or 8)Even number (ends in 0, 2, 4, 6, or 8)

Ex:Ex: 2,342,3466

1,350,001,350,0044

2288

33

Add up all the numbersAdd up all the numbers If it is divisible by 3 (with NO remainder), If it is divisible by 3 (with NO remainder),

then the number is divisible by 3then the number is divisible by 3

Ex:Ex: 2,4122,412

2 + 4 + 1 + 2 = 92 + 4 + 1 + 2 = 9

9 is divisible by 3, so 2,412 is 9 is divisible by 3, so 2,412 is divisible by 3divisible by 3

44

The last 2 digits are divisible by 4The last 2 digits are divisible by 4

Ex:Ex: 3,93,91212

12 is divisible by 4, so 3,912 is 12 is divisible by 4, so 3,912 is tootoo

998888

88 is divisible by 4, so 988 is too88 is divisible by 4, so 988 is too

55

Ends in 0 or 5Ends in 0 or 5

Ex:Ex: 9,035,649,035,6455

2,352,3500

999955

66

The number is divisible by 2 and by 3The number is divisible by 2 and by 3

Ex:Ex: 2,4122,412

→ → ends in 2 (divisible by 2)ends in 2 (divisible by 2)

→→ 2+4+1+2=9 (divisible by 3)2+4+1+2=9 (divisible by 3)

→→ divisible by 6divisible by 6

88

The last 3 digits are divisible by 8The last 3 digits are divisible by 8

Ex:Ex: 2,2,144144 144 144 ÷ 8 = 18 (no remainder)÷ 8 = 18 (no remainder)

→ → divisible by 8divisible by 81,397,1,397,536536536 ÷ 8 = 67 (no remainder)536 ÷ 8 = 67 (no remainder)→ → divisible by 8divisible by 8

99

Add up all the numbersAdd up all the numbers If it is divisible by 9 (with NO remainder), If it is divisible by 9 (with NO remainder),

then the number is divisible by 9then the number is divisible by 9

Ex:Ex: 4,8334,833

4 + 8 + 3 + 3 = 184 + 8 + 3 + 3 = 18

18 is divisible by 9, so 4,833 is 18 is divisible by 9, so 4,833 is divisible by 9divisible by 9

1010

Ends in 0Ends in 0

Ex:Ex: 3,575,293,575,2900

2,342,3400