# 5-13 Divisibility Rules

### Lesson List

The Divisibility Rules can help you find the factors of a number.  Look at the table below.

 Divisibility Rules If the number Then the number is divisible by is even 2 has digits whose sum is divisible by 3 3 is divisible by 2 and 3 6 ends in 5 or 0 5 ends in 0 10

Use the Divisibility Rules to determine if the numbers below are divisible by 2, 3, 5, 6, & 10.

 123 Divisible by 2? Yes   No 242 Divisible by 2? Yes   No 105 Divisible by 5? Yes   No 639 Divisible by 3? Yes   No 639 Divisible by 6? Yes   No 1,920 Divisible by 10? Yes   No 123 Divisible by 3? Yes   No 2,391 Divisible by 3? Yes   No 2,622 Divisible by 2? Yes   No 2,622 Divisible by 6? Yes   No 5,691 Divisible by 3? Yes   No 5,691 Divisible by 6? Yes   No 15,030 Divisible by 5? Yes   No 97,510 Divisible by 5? Yes   No 97,510 Divisible by 10? Yes   No 1,237 Divisible by 3? Yes   No 2,340 Divisible by 2? Yes   No 2,340 Divisible by 5? Yes   No 2,340 Divisible by 10? Yes   No 321 Divisible by 3? Yes   No 321 Divisible by 6? Yes   No 32,457 Divisible by 2? Yes   No 1,234 Divisible by 3? Yes   No 6,231 Divisible by 6? Yes   No 12,235 Divisible by 10? Yes   No 2,573 Divisible by 3? Yes   No 2,356 Divisible by 6? Yes   No 2,436 Divisible by 3? Yes   No 20,436 Divisible by 3? Yes   No 20,436 Divisible by 6? Yes   No