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Missing Factor Worksheets

If you need missing factor worksheets that you can print right now, this page builds them for you — 20 fresh problems, an answer key underneath, and no account to create first. Two of the problems on the sheet as it stands are □ × 12 = 120 and □ × 2 = 20 — answers 10 and 10 — and a new set is one click away.

📄 MISSING FACTOR WORKSHEETS — A NEW SHEET EVERY TIME YOU PRESS THE BUTTON
🎲 New set of problems

‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.

What these worksheets cover

The sheet mixes the position of the missing value, so the box sometimes sits in the first slot and sometimes in the answer slot. Children who have only met one arrangement usually stall on the other.

Missing-number work also exposes memorised facts that are not really known. A child can recite a fact forwards and still be unable to produce 10 when the same fact is presented backwards.

The sheet uses facts to 12 with one factor hidden, so the difficulty is the reasoning, not the arithmetic.

A missing-number problem such as □ × 12 = 120 asks the child to work backwards, and that is a genuinely different skill from computing forwards. The answer 10 cannot be reached by reading left to right and doing what the sign says.

Work of this kind is commonly aligned with the operations and algebraic thinking strand for this grade; schools outside the US meet the same skill at roughly the same age, which is why these missing factor worksheets travel well.

A sample of this sheet, with answers

These six come from the sheet loaded on this page. Press the button and the numbers change, but the shape stays the same (facts to 12 with one factor hidden).
#ProblemAnswerWhat to check
1□ × 12 = 12010Watch for: treating the equals sign as 'the answer comes next'
2□ × 2 = 2010Check: guess-and-check without adjusting
32 × □ = 42Look at: using the same operation instead of the inverse
48 × □ = 243Ask about: ignoring the box and computing the two visible numbers
5□ × 2 = 84Watch for: writing the whole equation as the answer
6□ × 9 = 728Check: freezing when the box is first

A worked example from this sheet

A good first problem to do together is □ × 12 = 120, which comes out at 10. Do □ × 12 = 120 once with the child narrating, then hand over the pencil and start the clock on the other 20 problems.

The item □ × 2 = 20 is worth doing slowly. The answer to □ × 2 = 20 is 10, and the route to it is the route every other problem on this sheet takes — which is why the sheet has 20 of them rather than one.

Where children usually slip up

Using this sheet as a daily drill

  1. Keep the session to about 10 minutes. A child working at this level who is still counting on fingers will need longer than that on a line like □ × 12 = 120, and that is fine: the timer is a measurement, never a punishment.
  2. Write the finish time and the score at the top of every sheet. Two weeks of those two numbers tells you more about progress on missing factors than any single test result.
  3. Mark it together straight away while the working is still fresh, so a slip like the one behind 2 × □ = 4 can be talked through instead of guessed at.
  4. Re-print the same skill rather than the same sheet. Because the numbers change, a child who memorised that □ × 12 = 120 gives 10 still has to actually calculate tomorrow.
  5. If two days in a row come out under 10 minutes with everything correct, that is the signal to move up: either numbers bigger than □ × 12 = 120 uses, or the next skill in the sequence.

About the answer key

Answers appear next to their question numbers, so a wrong item like □ × 2 = 20 can be found in the key in a second and re-worked while it is still fresh.

Every generated sheet carries its own key on a separate printed page, which lets a child self-mark without seeing the answers while they work.

Printing on US Letter or A4

For a class set, print one sheet, press the new-worksheet button and print again. Each child gets different numbers on the same skill, so nobody can copy the answer to □ × 12 = 120 from a neighbour.

Printing works the same on US Letter and A4, because the layout uses relative widths rather than fixed inches. Set margins to default and scaling to 100%, and all 20 problems fit.

Frequently asked questions

Will these print correctly on A4?
Yes. These missing factor worksheets fit both A4 and US Letter without clipping, as long as print scaling is left at 100% and browser headers and footers are switched off.
What should I do when my child is stuck?
Ask what would fill the gap, not what the answer is. Try a number, see whether the two sides balance, and adjust — that is the whole method in one sentence.
Are these worksheets really free?
Yes, completely. The page is supported by advertising, not by subscriptions, so there is no limit on how many missing factor worksheets you print.
Are these harder than normal problems?
For the same numbers, yes, roughly twice as slow at first. The gap closes quickly with a few short sessions of 10 minutes.

When these become easy, move along the related links below rather than adding more problems to the same sheet.

More worksheets like this

→ Free Missing Number Worksheets

Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13