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Grade 3 · Foundations · 8 minute lesson

Use multiplication to solve division

Find a missing factor to answer a division question.

Lesson 6 of 30 in Grade 3. Take the time you need; the lesson estimate is a guide.

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Teaching video

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01 · Read and understand

What you will learn

  • Find a missing factor to answer a division question.
  • Explain your method and check what the result means in the stated situation.

Before you start

Place value through hundreds, addition and subtraction, equal groups, and equal shares.

Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.

Start with a question

Use a multiplication fact to find 42 ÷ 7.

Why this math matters

Treat unfamiliar division as a missing-factor puzzle. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.

Hands-on mathematics materials for exploring numbers, shapes, and measurement
Make a representation of your own.Sketch the quantities or relationships in this question before working through the solution. The cover image sets the learning scene; it does not show this problem’s exact values.

Set up the model

A useful answer starts with clear assumptions:

  • Use the units, grouping rules, and reference whole stated in the question.
  • Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.

02 · Work through the example

Follow the reasoning, one step at a time.

Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.

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See this example unfold.

The complete worked example, one idea at a time.

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Use multiplication to solve division

Paused

Question: Start with the question. Paused.

Question

Start with the question

Use a multiplication fact to find 42 ÷ 7.

Before you calculate

Read what is known and what you need to find. Make a prediction before moving to the first calculation.

Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.

Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.

  1. Represent the situation

    7 × ? = 42

    Division asks for the factor completing this product.

  2. Connect the parts

    7 × 6 = 42

    Recall or build the seven-times fact.

  3. State and check the result

    42 ÷ 7 = 6

    Multiplying the quotient by the divisor recovers the dividend.

The result

42 ÷ 7 = 6

Multiplying the quotient by the divisor recovers the dividend.

Common mistakes to catch

  • Use a multiplication fact with the correct total.
  • Division by zero is not permitted.

03 · Practice independently

Try it before revealing the answer.

Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.

Practice 1

What is 56 ÷ 8?

Show a hint

Think eight times what equals fifty-six.

Reveal answer and explanation

7

8 × 7 = 56.

Practice 2

Which multiplication checks 36 ÷ 4 = 9?

Show a hint

Recombine four equal groups of nine.

Reveal answer and explanation

4 × 9 = 36

Divisor times quotient equals the original total.

Take the idea with you

Treat unfamiliar division as a missing-factor puzzle.

04 · Reflect and continue

Can you explain it in your own words?

Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.

Next lesson

Up next: Interpret leftovers in division

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