Curriculum

Explore all 1,590 open curriculum concepts.

Advanced filters
MathematicsMultiplication & DivisionAges 8–9

Factor Pairs & Commutativity

Recognise and use factor pairs and commutativity in mental calculations

Teaching approaches

Gakuva’s recommended starting approach is selected. You can still compare every option.

1 approach

Selected Default Gakuva

If your child 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?

Recognise and use factor pairs and commutativity in mental calculations

Learning resources

Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.

No reviewed resources for this concept yet.

The teaching approach above still stands. Curated practice links — and later lock-ranked options — will appear here as the shelf fills.

Explore the learning path

2 before · 1 after

Loading map…

This concept

Factor Pairs & CommutativityConceptual concept

Check 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
“If your child 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?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Multiplication & Division
Age range
Ages 8–9

Standards

uk-nc-2013:Ma/KS2/Y4/MD/3