3rd Grade Math · Missing Factors
Mixed equations Worksheets
Fresh practice, ready to print. Answer key included.
Multiplication and division equations with one number missing.
Make it yours
Or start with a ready-made version.
How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Say the fact you know | For ____ × 6 = 42, ask what times 6 makes 42. 7 × 6 = 42, so the blank is 7. |
| The blank can sit on either side | 7 × ____ = 56 and ____ × 7 = 56 ask the same question. |
| Division is the fact backwards | For 56 ÷ ____ = 8, ask what number times 8 makes 56. The blank is 7. |
| A missing dividend is a product | For ____ ÷ 7 = 4, multiply the two numbers you can see: 7 × 4 = 28. |
| Factors stay from 2 to 10 | Every factor, divisor, and quotient on these pages is from 2 to 10. |
Worked example
Find the missing number: 7 × ____ = 56.
- 1Ask: 7 times what number makes 56?
- 2Count by sevens if you need to: 7, 14, 21, 28, 35, 42, 49, 56. That is eight sevens.
- 3The missing number is 8.
- 4Check: 7 × 8 = 56.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- Mixed equations Worksheets, version 1Worksheet PDFAnswer key PDF
- Mixed equations Worksheets, version 2Worksheet PDFAnswer key PDF
- Mixed equations Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 3rd grade math (operations) and aligned to CCSS 3.OA.A.4. It also works as review in later grades.
Common questions
- Is there an answer key?
- Yes. Every worksheet has a matching answer key with each answer worked on the same grid or layout as the question. The worksheet ID printed at the bottom of each page pairs a sheet with its key.
- How does this connect to division?
- A missing factor is a division fact in disguise: 7 × ____ = 56 asks the same thing as 56 ÷ 7. Children who can do one can do the other, which is why both kinds share a page.
- Do these replace the times-table pages?
- No. They assume the facts are underway. A child who is stuck can turn the equation back into the multiplication fact it came from.
- How many different versions are there?
- About a million per skill. Each time you press the button the problems are generated fresh, so you can print a different version for every student, a retake, or another night of practice.
- Are the worksheets free?
- Yes. They are free to print and copy for your home or classroom, with no sign-up.