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Mathematics·Multiplication & Division·conceptual

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)

Suggested ages 8–9

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Learning journey

Your child is building fluency with multiplication and division — memorizing times tables up to 12×12, understanding the relationship between multiplication and division, and solving word problems involving equal groups and arrays.

Evidence of understanding

  • 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

Assessment prompt

Can Division as Unknown Factor work out '32 ÷ 8' by asking 'what do I multiply 8 by to get 32?' — using times table knowledge rather than a separate division method?

Standards alignment

3.OA.6US · ccss-math

Understand division as an unknown-factor problem

Common Core State Standards for Mathematics · 3