Missing Factor Worksheet – Free Printable PDF
This free missing factor worksheet is division practice before division has been introduced. Twelve multiplication sentences are printed with one factor replaced by a dashed box — 2 × _ = 8, then _ × 3 = 12 — and the position moves so no child can settle into a pattern. Working out what belongs in the box is exactly the thinking that division will formalise later. Print it instantly — no login, no payment, no sign-up required.
- 📚 GRADE LEVEL → Nursery – LKG – 1st – 2nd
- 👶 AGE GROUP → 5–7 Years
- 📐 PAGE SIZE → A4 Size
- 🎯 DIFFICULTY → Medium
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More about this worksheet
About This Free Missing Factor Worksheet for Kids
This free missing factor worksheet gives a single multiplication format a full page to itself. 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.
Twelve problems in a grid three across and four down. Each has a dashed box standing in for one of the two numbers being multiplied, and the answer is already printed. The problems are 2 × _ = 8, _ × 3 = 12, 5 × _ = 20, _ × 4 = 16, 3 × _ = 15, _ × 2 = 14, 4 × _ = 12, _ × 5 = 25, 10 × _ = 30, _ × 3 = 18, 2 × _ = 12 and _ × 4 = 20. Every answer stays within thirty.
The gap alternates between the first and second number in a checkerboard down the page. Because multiplication works the same way round, both versions are the same problem mathematically — so what alternating really trains here is reading the question properly rather than a second method. If your child is stuck, turn it into a division question out loud: what times three makes twelve is the same as twelve shared into threes. Saying it both ways is how the link between the two operations forms. For more early maths in the same style, see our lowercase letter tracing worksheets, and the full library sits on our free printable worksheets for kids.
What your child will learn from this worksheet
A single format repeated, and more going on in it than it first appears:
- Find a hidden factor in either position of a multiplication sentence
- Discover the inverse relationship between multiplying and dividing in practice
- Understand that the equals sign means balance, not simply what comes next
- Solve twelve problems drawn from the 2, 3, 4, 5 and 10 times tables
- Build the reasoning that makes formal division far easier to introduce later
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 free printable coloring pages are the place to rebuild that foundation before pushing on.
Who is this worksheet best for?
This free missing factor 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. To see the same inverse relationship written out in full, follow it with the Multiplication Fact Families 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 missing factor 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.
How do I help my child find the missing factor?
Ask how many threes make twelve rather than what goes in the box. Counting up in threes — three, six, nine, twelve, that is four of them — turns the problem into something they can already do. Once that becomes automatic on this missing factor worksheet, point out that they have just divided twelve by three, and division stops being a new topic and becomes a new name for something familiar.
Are missing factor problems 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 sight words 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.