Multiplication Fact Families Worksheet – Free PDF

This free multiplication fact families worksheet shows children that four number sentences can come from just three numbers. Each triangle holds a product at the top and its two factors below — 6 with 2 and 3, 12 with 3 and 4, 20 with 4 and 5, 14 with 2 and 7 — and the child writes two multiplication sentences and two division sentences from it. Sixteen sentences in all. Print it instantly — no login, no payment, no sign-up required.

More about this worksheet

About This Free Multiplication Fact Families Worksheet for Kids

One page, one method — that is the whole of this free multiplication fact families worksheet. A name and date line runs across the top, a coloured title band names the activity, and one line of instructions sits beneath it. At Kidzolearn, every worksheet is 100% free to download and print — no login, no subscription, no payment required.

Four triangles down the page. Each has a number at the apex and two numbers at the base, with four blank number sentences beside it — two multiplication and two division. The problems are 6 from 2 and 3, 12 from 3 and 4, 20 from 4 and 5, and 14 from 2 and 7. No number goes above twenty.

This is the only sheet in the collection that brings in division, and it does so as a rearrangement of a multiplication fact your child already has rather than as a new topic with its own rules. Four sentences, one set of three numbers. Cover the apex number and ask what goes there, then cover a base number and ask again. Once a child can fill any corner from the other two, they have understood the family rather than memorised four sentences. For more early maths in the same style, see our uppercase letter tracing worksheets, and the full library sits on our free printable worksheets for kids.

What your child will learn from this worksheet

By the time the page is finished, your child will have practised:

  • Write two multiplication sentences from each triangle, such as 2 × 3 and 3 × 2
  • Write the two matching division sentences, 6 ÷ 2 and 6 ÷ 3
  • Understand that the product always sits at the top and the factors below
  • See the commutative property in action rather than being told about it
  • Meet division as a rearrangement of something familiar, not a brand new topic

These support maths objectives in Grade 1 to Grade 3, UK Year 2 and Year 3, and Indian Class 1 to Class 3. Multiplication rests on confident addition, so if any of these feel slow, our shapes worksheets for kids are the place to rebuild that foundation before pushing on.

Who is this worksheet best for?

This free multiplication fact families worksheet is perfect for:

  • Children aged 5 to 7 years who know their tables in order but hesitate out of order
  • Classroom times table warm-ups, maths centres and morning work
  • UK Year 2 and Year 3 KS1 and lower KS2 children building towards the Multiplication Tables Check
  • Homeschooling parents who want four tables practised on a single page

Browse the complete collection of Free Multiplication Worksheets for Kids on Kidzolearn for more free multiplication printables.

How to download and print this free worksheet

Click the “Download Free Worksheet” button on this page — the PDF downloads instantly with no sign-up or email required. Print on standard A4 paper for the best experience, and cover one corner of a triangle with a finger to turn it into a quick oral quiz. Build the same reasoning first with the Missing Factor Worksheet.

Frequently Asked Questions

Are Kidzolearn worksheets really free?

Yes! Every worksheet on Kidzolearn is 100% free — no subscription, no login and no payment required at any time. Simply click the download button, save the PDF and print it instantly at home or in the classroom.

At what age should children start using this multiplication fact families worksheet?

Most children are ready from around age six or seven, once they have met multiplication as repeated addition and started on individual tables. This is not a first introduction — a child who does not yet know what 3 × 4 means will find the format confusing rather than difficult. Secure addition comes first, then the idea of equal groups, then tables.

What exactly is a fact family?

Three numbers that make four true number sentences. Take 2, 3 and 6: you can write 2 × 3 = 6, 3 × 2 = 6, 6 ÷ 2 = 3 and 6 ÷ 3 = 2. The triangle format on this multiplication fact families worksheet holds all three numbers in fixed positions, so the child can see at a glance which one is the product and which two are the factors.

Are fact families part of the official primary curriculum?

Yes, and in some places they are formally assessed. US standards require fluent multiplication within 100 by the end of Grade 3. The UK national curriculum sets the 2, 5 and 10 tables in Year 2 and all tables to 12 × 12 by Year 4, tested in the statutory Multiplication Tables Check. Indian Class 2 and Class 3 syllabi follow the same sequence. All of them assume addition is already secure, which is why our free alphabet tracing worksheets cover the number work that sits underneath all of this.

Can I use these worksheet at home?

Absolutely! This worksheet is completely free to download and print at home. All you need is a printer and a pencil — no cost, no sign-up and no login required. You can print it as many times as your child needs.

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