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Selected topic Factor Pairs & Commutativity Mathematics · Multiplication & Division · view full details
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Mathematics·Multiplication & Division·conceptual

Factor Pairs & Commutativity

Recognise and use factor pairs and commutativity in mental calculations

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

  • List all factor pairs of a given number (e.g. 24: 1×24, 2×12, 3×8, 4×6)
  • Use commutativity to reorder a multiplication for easier mental calculation
  • Explain what a factor pair is and how commutativity helps

Assessment prompt

If Factor Pairs & Commutativity needs to multiply '4 × 15', can they spot that splitting it into '4 × 5 × 3 = 20 × 3 = 60' is a clever shortcut — using factor pairs to make it easier?

Standards alignment

Ma/KS2/Y4/MD/3GB · uk-nc-2013

Factor pairs and commutativity

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 2