# Divisibility Rules

A number is** divisible by** another** number** if the division is exact.

### Divisible by 2

A number is divisible by **2**, if* its last digit is a zero or an even number. *

64, 278, 1,094.

### Divisible by 3

A number is divisible by **3**, if *the sum of its digits 3 or is a multiple of 3.*

12

1 + 2 = 3

564

5 + 6 + 4 = 15, is multiple 3

2,040

2 + 0 + 4 + 0 = 6, is multiple 3

### Divisible by 4

A number is divisible by **4**, if the last two digits are zeros or a multiple of 4.

16, 600, 1,028.

### Divisible by 5

A number is divisible by **5**, if it ends in zero or five.

15, 715, 7,725.

### Divisible by 6

A number is divisible by **6**, if it is divisible by 2 and 3.

42, 324, 60,012

### Divisible by 7

A number is divisible by **7***, when the difference between the number without the figure of the units and the double the number of the units is 0 or a multiple of 7*.

343

34 − 2 · 3 = 28, is multiple of 7.

105

10 − 5 · 2 = 0

2261

226 − 1 · 2 = 224.

Repeat the process with 224.

22 − 4 · 2 = 14, is multiple of 7.

### Divisible by 8

A number is divisible by **8**, if* its last three figures are zeros or a multiple of 8. *

2,000, 5,048, 7,512.

### Divisible by 9

A number is divisible by 9, if* the sum of its digits gives a multiple of 9.*

63

6 + 3 = 9

3,663

3 + 6 + 6 + 3 = 18, is multiple of 9

### Divisible by 10

A number is divisible by **10**,* if the last figure in the unit is 0.*

230, 5,440, 70,230

### Divisible of 11

A number is divisible by **11**, if* the difference between the sum of the figures who occupy the even numbers and the odd numbers is 0 or a multiple of 11*.

121

(1 + 1) − 2 = 0

4,224

(4 + 2) − (2+4) = 0

### Divisible by 25

A number is divisible by **25**, if their last two digits are zeros or a multiple of 25.

700, 6,025, 8,875.

### Divisible by 125

A number is divisible by **125**, if its last three figures are zeros or a multiple of 125.

3,000, 5,125, 7,250.