Multiplication & Division Facts Generator

Print a fact family worksheet in seconds: each triangle shows three numbers, and children write the four multiplication and division facts that belong to it. Free, with an answer key.

What is a fact triangle?

A multiplication fact triangle shows a product at the top and its two factors at the bottom corners, for example 42 with 6 and 7. Together they make four facts: 6 x 7 = 42, 7 x 6 = 42, 42 / 6 = 7 and 42 / 7 = 6.

This is the clearest way to show children that division is the reverse of multiplication. A child who knows the 7 times table already knows the division facts that go with it, and the triangle makes that visible on the page.

How to make the worksheet

  1. Choose the number of triangles on the page: 6, 9 or 12. Six triangles is a calm first sheet, twelve is a full practice page.
  2. The facts use the times tables from 2 to 12, so every triangle matches a fact children learn in school.
  3. Press Create and check the preview. Press Download PDF to save the sheet, or Print to send it straight to your printer. Press Create again whenever you want a fresh set: the numbers change, the layout stays the same.
  4. Press Show answers to fill in all four facts under each triangle, and print that page as the answer key.

Which grade is it for?

3rd grade: 6 or 9 triangles, while the times tables are being learned. Work with the tables your child knows first.

4th grade: 12 triangles as fluency practice, especially before long division, where quick division facts make every step easier.

5th grade: a quick warm-up or review sheet before tests.

Tips for using fact triangles

  1. Play cover the corner: hide one number with a finger and ask for it. Hiding the top number practises multiplication, hiding a bottom number practises division.
  2. Group the facts children find hard, such as 6 x 8, 7 x 8 and 7 x 6, and print a few sheets in a row until they come quickly.
  3. Follow the triangles with the division generator for the same tables, so children use the facts in full problems.

Using the sheets at home and in class

At home, print a sheet for one table at a time while it is being learned, then a mixed sheet every few days to keep the older tables fresh. Cut the triangles apart and they become flash cards for the car or the kitchen table. In class, a 9-triangle sheet makes a five-minute warm-up before a lesson on division or fractions, where quick facts matter most. Children can also make their own triangle cards from the sheet and quiz a partner, which keeps everyone talking about the facts instead of just writing them.

What is on the printed page

Each triangle has the largest number at the top and the two smaller numbers in the bottom corners. Under it are four short equations with a blank to fill in. The page has a title, a name and date line, and enough space between triangles for young writers. It prints well in black and white.

Example multiplication & division facts

Generated multiplication and division fact triangle worksheet
The worksheet
Answer key for the multiplication and division fact triangles
The answer key

Frequently asked questions

Which tables are used?

Both factors are between 2 and 12, so the triangles cover the times tables taught in school.

Is there an answer key?

Yes. Press Show answers to fill in all four facts under every triangle, then print or download it.

How many triangles can I print on one page?

6, 9 or 12 triangles.

Why use fact triangles instead of plain division problems?

Triangles show how multiplication and division are linked, so children learn one fact family instead of four separate facts. Plain problems are then easier.

Ready-made worksheets for the same facts