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Division as Unknown Factor

Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)

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What a learner can do afterwards

  • Explain that 32 ÷ 8 = ? is the same as 8 × ? = 32
  • Use a known multiplication fact to find a division answer
  • Describe the relationship between multiplication and division as inverse operations

The lesson

You already know multiplication and division are connected. When you see 32 ÷ 8, you can turn it into a multiplication question instead: what number times 8 gives 32?

Tap to fill the grid, one at a time: 8 rows of 4.
8 rows of 4 make 32. So 8 × 4 = 32, which means 32 ÷ 8 = 4.
Try it together

Zara needs to solve 32 ÷ 8. Instead of guessing, she thinks of her times tables: 8 × 4 = 32. So the missing number is 4, and 32 ÷ 8 = 4.

Good to know

Turn any division into a multiplication with a missing number. 20 ÷ 5 becomes 5 × ? = 20. Then use what you know about times tables to find the answer.

Division finds the missing factor: turn ÷ into × with a blank, then use your times tables to fill it in.

Watch it

Where it sits

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Division as Unknown Factor · Mathematics, ages 8 to 9 · LightMySky