How do I make a fact family?

Type your three related numbers into the prompt box, choose a triangle or house format, pick addition and subtraction or multiplication and division, choose a style, and click Generate. Figviz produces a print-ready fact family poster with all the related number sentences. Refine the numbers and regenerate as often as you like.

What is the difference between a fact family triangle and a house?

Both show the same relationships. A triangle places the whole (sum or product) at the top corner and the two parts (addends or factors) in the bottom corners. A house puts all three numbers on the roof and lists the number sentences inside. The triangle highlights the part-whole link, while many younger students find the house format more friendly.

Can it make multiplication and division fact families?

Yes. Enter two factors and their product, for example 3, 4, and 12, and Figviz will generate the multiplication and division family 3x4=12, 4x3=12, 12 divided by 3=4, and 12 divided by 4=3. It also handles addition and subtraction families, so you can match the operations to your grade level.

Can I generate a blank fact family worksheet?

Yes. Ask for a blank fact family worksheet or template in your prompt, for example "a worksheet with four blank triangles and ruled lines." Figviz will produce a printable page with empty triangles or houses and blank lines for students to fill in the related number sentences during practice.

Is the fact family generator free?

Yes. Every Figviz account starts with free credits you can use right away, no credit card required. Buying a pay-as-you-go credit pack removes the watermark and unlocks 4K export resolution for large poster printing. Credits never expire.

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Fact Family Generator Fact Families

Enter three related numbers and get a clean, printable fact family in seconds. Triangles, houses, and worksheets for addition, subtraction, multiplication, and division. Print for class or share digitally.

Last updated: 2026-06-22

✓Triangle and house formats✓Addition, subtraction, multiplication, division✓Blank and filled templates✓Free for teachers

Fact Family Generator

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Fact Family Examples

Browse fact families made with Figviz, or generate your own above

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Fact Family Triangle

The classic triangle format with the part numbers in the bottom corners and the whole at the top, listing all four related number sentences.

triangleadditionsubtraction

Fact Family House

The house format with the three numbers on the roof and the related number sentences written inside the windows.

houseadditionsubtraction

Addition and Subtraction Fact Family

A clear addition and subtraction fact family showing how two parts and one whole connect through four related sentences.

additionsubtractionnumber sense

Multiplication and Division Fact Family

A multiplication and division fact family showing two factors and one product connected through four related sentences.

multiplicationdivisionnumber sense

Blank Fact Family Template

A clean blank fact family triangle with empty corners and ruled lines, ready for students to fill in their own numbers and sentences.

templateblankprintable

Fact Family Worksheet

A printable practice worksheet with multiple fact family triangles and blank lines for students to complete the number sentences.

worksheetpracticeprintable

What is a fact family?

A fact family is a group of related number sentences that use the same set of numbers. For addition and subtraction, three numbers such as 2, 3, and 5 produce four facts: 2+3=5, 3+2=5, 5-2=3, and 5-3=2. For multiplication and division, three numbers such as 3, 4, and 12 produce 3x4=12, 4x3=12, 12 divided by 3=4, and 12 divided by 4=3. Fact families help students see how operations are connected and how addition undoes subtraction and multiplication undoes division. A fact family generator turns any set of three numbers into a clean, printable triangle, house, or worksheet in seconds.

How to make a fact family with Figviz

Pick three related numbers: choose two parts and their whole, for example 4 and 6 with the whole 10, or two factors and their product, for example 3 and 4 with the product 12.

Choose a format: a triangle places the whole at the top and the parts in the corners, while a house puts all three numbers on the roof.

Choose the operations: addition and subtraction for younger students, or multiplication and division for older students.

Pick a style: Classic for clean printing, Colorful for bright color-coded sentences, or Minimal for a low-ink worksheet.

Generate and refine: click Generate Fact Family, then adjust the numbers or wording and regenerate until it matches your lesson.

Download and print: export at 4K resolution for a crisp poster or a sharp worksheet handout.

Triangle vs house format

The two most common fact family formats are the triangle and the house, and both show the same relationships in a slightly different way. In a triangle, the whole (the sum or the product) sits at the top corner and the two parts (the addends or the factors) sit in the bottom corners. Students slide their finger along the sides to read each related fact. In a house, all three numbers go on the roof and the four related number sentences are written inside, like family members living together. Younger students often find the house more friendly and concrete, while the triangle makes the part-whole relationship easier to see. Figviz can generate either format, so you can match the one your curriculum uses.

Addition and subtraction vs multiplication and division

Addition and subtraction fact families use two parts and one whole. From 7, 8, and 15 you get 7+8=15, 8+7=15, 15-7=8, and 15-8=7. These are perfect for kindergarten through second grade as students learn that subtraction is the inverse of addition.

Multiplication and division fact families use two factors and one product. From 3, 4, and 12 you get 3x4=12, 4x3=12, 12 divided by 3=4, and 12 divided by 4=3. These suit third grade and up as students learn that division undoes multiplication.

A special case: when the two parts or factors are equal, such as 5, 5, and 10 or 6, 6, and 36, the fact family has only two sentences instead of four. Figviz handles these doubles and squares correctly.

Can I get a blank fact family template?

Yes. To generate a blank fact family template, describe the structure you want, for example "a blank fact family triangle with empty corners and ruled lines for the number sentences." Figviz will draw the triangle or house with empty number spaces and blank lines that students fill in by hand after printing, or annotate digitally in any PDF editor. Blank templates are ideal for guided practice, math centers, and timed drills, and you can print several copies so every student gets one.

Frequently asked questions

A fact family is a set of related number sentences that share the same three numbers. For example, the numbers 2, 3, and 5 form the addition and subtraction family 2+3=5, 3+2=5, 5-2=3, and 5-3=2. Multiplication and division families work the same way with two factors and a product. Fact families show how operations are connected.

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