Smart Math guide · Number Sense

Use Divisibility Tests

Simple digit tests can reveal factors without long division.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. For 2, inspect the last digit; for 3 or 9, sum digits; for 5, inspect the last digit.
  2. Apply the relevant test.
  3. Confirm with division when needed.
Worked example

See it in action

378 has digit sum 18, so it is divisible by 9; 378÷9=42.

Check your thinking

How to verify it

Multiply 42×9 to verify 378.

Watch out

Common mistake

Each divisor has its own rule; do not generalize one test to all numbers.