Missing factors worksheets

A missing factor turns a times-table fact into a division question without ever printing a division sign. These free printable worksheets hide one of the two factors up to 12 × 12, so a child has to work backwards from the product.

Kid stuck on one? You don’t just get the sheet.

Missing factors
Missing factors worksheet — Factors to 12, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

7 × __ = 42 is 42 ÷ 7 wearing different clothes, and meeting it in this form first is what makes division feel like something already known rather than a new operation to learn. It is also exactly what third-grade standards ask for by name: determine the unknown number in a multiplication equation.

Why this sheet works

Either factor can be the hidden one, so a child cannot settle into always dividing by the number on the left. Reading the sentence properly — which number is known, which one is the product — is half of what the page trains, and it is the half that transfers to algebra.

How this one works

One question from this sheet, worked through a step at a time.

8 × ? = 80

8×?=80
8×?=80
80÷8=10
8×10=80
  1. The gap is not at the end this time — the ANSWER is already there. What is missing is one of the two numbers going in, so the sum cannot just be worked left to right.
  2. Multiplying is undone by dividing. 8 of something makes 80, so the something is 80 shared into 8: 80 ÷ 8.
  3. Put it back in to be sure: 8 × 10 = 80. It holds, so the missing number is 10.