Divisibility Rules

Learn about divisibility rules

Definition

A way of finding whether a number is dividable by another number, without doing an actual division problem


Examples

Rules of Divisibility

  • 2 - If the number ends in 0, 2, 4, 6, or 8, then it is divisible by 2.
  • 3 - If all the digits of a number equal something divisible by 3, then the number is divisible by three.
  • 4 - If the last two digits are divisible by 4, then then number will be divisible by 4
  • 5 - If you add up the number and it is a number that ends with a 0 or 5 then the number is divisable by 5
  • 6 - If its divisable by 2 and 3 then the number is divisible by 6
  • 9 - If the number is divisable by 3 then the number would be divisable by 9
  • 10 - If the number ends with 0 then the number is divisable by 10


Example Problems

294 is divisible by 2, 3, and 6. It is not divisible by 8 because it is not divisivble by 4.

484 is divisible by 2, 4, and 8. It is not divisible by 10 because it does not end in 5 or 0.

895 is divisible by 5. It is not divisible by 4 because the last 2 digits are not divisible by 4

Divisibility Games

How fast can you tell if number is divisible by a number?

Divisibility Videos

Rules for divisibility 2 + 1 Math Rocks!
Divisibility Tests for 2, 3, 4, 5, 6, 9, 10

Practice Sites