Divisibility rules worksheets
Quick tests to see whether a number divides by 2, 3, 4, 5, 6, 9 or 10 without doing the division. They make factors and simplifying fractions much faster.
Download the free divisibility rules worksheet (PDF)
Divisibility rules worksheet
What’s on the worksheet
- 50 questions on divisibility rules, sized for US Letter paper
- 4 pages of questions plus an answer key on the last page
- Written for grades 4–5, matching Common Core 4.OA.B.4
- Name and date lines at the top, and room to show the work
Sample questions from this worksheet
- Is 206 divisible by 6?
- Is 807 divisible by 2?
- Is 422 divisible by 6?
- Is 864 divisible by 9?
- Is 785 divisible by 6?
- Is 870 divisible by 10?
Preview the worksheet and answer key
Make a new divisibility rules worksheet
Need another page for extra practice, a retake or a second group in class? The free Mathify Kids test maker builds a fresh divisibility rules worksheet with different numbers every time. Choose Core, Standard or Challenge level, print it with its own answer key, or let your child take it on screen and see the score straight away.
Divisibility rules: a worked example (Is 564 divisible by 2, 3, 4, 5 or 6?)
- By 2: it ends in 4, which is even. Yes.
- By 3: 5 + 6 + 4 = 15, and 15 divides by 3. Yes. By 6: it passes both 2 and 3. Yes.
- By 4: the last two digits, 64, divide by 4. Yes. By 5: it doesn’t end in 0 or 5. No.
How to use it at home and in class
At home
Keep the divisibility rules chart next to the worksheet for the first few tries. Ten problems a day works better than a whole sheet at once. Mark them together with the answer key, then ask your child to explain one they got wrong: finding the mistake themselves is where the learning happens.
In class
Use the first row as a warm-up, a full page for independent practice, or five questions as an exit ticket. For a retake or a second group, make a new version with the test maker so every child gets different numbers.
Mistakes to watch for
- Using the digit-sum test for 4 instead of looking at the last two digits.
- Saying a number divides by 6 because it passes only one of the 2 and 3 tests.
What to practice before and after divisibility rules
- Before: long division. If this sheet is a struggle, go back a step.
- Learn it first: the divisibility rules lesson and the factors and multiples chart.
More division worksheets
Last reviewed
Questions parents ask
What is the divisibility rule for 3?
Add the digits. If the total divides by 3, so does the number. For 564, 5 + 6 + 4 = 15, and 15 ÷ 3 = 5.
What grade is this divisibility rules worksheet for?
It is written for grades 4–5 and matches Common Core standard 4.OA.B.4.
Can I get a different version of this divisibility rules worksheet?
Yes. Use the free Mathify Kids test maker to make a new divisibility rules worksheet with different numbers every time, at Core, Standard or Challenge level, with its own answer key.