# Divisibility Rules

RULES OF DIVISIBILITY

A number is divisible by…                     if…                                                                                Example

2                                         the last digit is even (0, 2, 4, 6, 8)                                    12,458

3                                         the sum of its digits is divisible by 3                               142,011

1 + 4 + 2 + 1 + 1 = 9  and  9/3 = 3

4                                         the last 2 digits are divisible by 4                                    615,420

20/4 = 5, so the whole number is divisible by 4

5                                         the last digit is 0 or 5                                                            134,890

467,675

6                                         the number is divisible by 2 and by 3                            334,002

the last digit is even

3 + 3 + 4 + 2 = 12  and 12/3 = 4

8                                         the last 3 digits are divisible by 8                                    213,104

104/8 = 16

9                                         the sum of the digits is divisible by 9                            720,108

7 + 2 + 1 + 8 = 18  and 18/9 = 2

10                                      the last digit is 0                                                                     324,550