Short Blocks

Maths Year 6 Autumn Multiplication and Division

Each unit has everything you need to teach a set of related skills and concepts.

Multiples, factors and prime numbers (suggested as 2 days)

Planning and Activities

Day 1 Teaching
Launch the ITP Number Grid to highlight multiples of 9 and 6. Discuss lowest common multiple. Repeat for multiples of 6 and 8. Reset, ring 18 &24. List all factors of each. Discuss highest common factors.
Group Activities
-- Game to find a number on the grid that is a common multiple of numbers on 2 cards. Then identify facts of numbers on a grid.
-- 2 games: Shuffle cards, take 2 and say a common multiple. Choose a number from a grid and say a factor. Child with highest factor wins.

Day 2 Teaching
Identify prime numbers as numbers with exactly 2 factors, themselves and 1. Identify 1 as not prime. Remind children that other numbers are composite numbers. Find numbers which have a pair of prime factors, e.g. 15.
Group Activities
Use the ‘Magic Multiplication Squares’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Find which numbers from 10 to 30 can be made by multiplying 2 prime numbers together.
-- Write numbers as product of several prime factors.

You Will Need

  • ITP: Number grid (see resources)
  • Mini-whiteboards and pens
  • Grid of multiples (see resources)
  • 2–9 cards
  • Common factors sheet (see resources)
  • Factor tree’ from

Mental/Oral Maths Starters

Day 1
Factors (pre-requisite skills)

Suggested for Day 2
Double and halve numbers to 100 (simmering skills)


Day 1
Find common multiples and factors of given numbers.

Day 2
List prime numbers with a given range. Find numbers which can be made by multiplying 2 prime numbers together.

Mastery: Reasoning and Problem-Solving

  • Which pair(s) of numbers under 20 have the largest number of common factors? What is the highest common factor?
  • Write common multiples of 4 and 6 up to 60. What is the lowest common multiple.
  • Use this information to find the lowest common multiple of 8 and 12.
  • True or false?
    The lowest common multiple of 2 prime numbers, a and b is always a x b.
    The highest common factor of 2 multiples of 6 is always 6.

In-depth Investigation: Magic Multiplication Squares
Children complete a magic multiplication square using their knowledge of number properties and relationships. They then explore factors and multiples to create a new multiplication magic square.

Extra Support

Factor Hunt
Finding factors of numbers within times tables