Explain what a factor is and use arrays and multiplication and division facts to find them | Maths

Starter quiz

What multiplication fact does this array represent?
- 4 × 8 = 32 ✓
- 2 × 16 = 32
- 8 × 4 = 32 ✓
- 4 × 32 = 8
What are the factors shown by this array?
- 9 and 54
- 6 and 54
- 9 and 6 ✓
How many groups of 7 counters can be made from 56 counters?
- '8' ✓
Which of these have a product of 30?
- 20 + 10 =
- 10 × 3 = ✓
- 1 × 30 = ✓
- 100 - 70 =
Match the expressions to the correct product.
- 4 × 11
  
  ⇔
  
  44 ✓
- 9 × 8
  
  ⇔
  
  72 ✓
- 4 × 6
  
  ⇔
  
  24 ✓
- 3 × 7
  
  ⇔
  
  21 ✓
What is the area of this rectangle? ______ cm $^2$
- '96' ✓

Exit quiz

What is the value of the row in this array?
- '3' ✓
What multiplication does this array represent?
- 6 × 7 = 42 ✓
- 7 × 7 = 42
- 7 × 6 = 42 ✓
- 42 × 7 = 6
Look at the array. Match the values to the correct word.
- 11
  
  ⇔
  
  factor ✓
- 3
  
  ⇔
  
  factor ✓
- 33
  
  ⇔
  
  product ✓
Which of these are correct arrays for 16?
Look at this array. Which division equation is correctly represented?
- 108 ÷ 8 = 12 ✓
- 8 ÷ 12 = 108
- 108 ÷ 12 = 8 ✓
- 12 ÷ 8 = 108
Which of these are factors of 54?
- 1 ✓
- 2 ✓
- 5
- 6 ✓
- 10

Worksheet

Presentation

Video

Lesson Details

Key learning points

A factor is a whole number which can be multiplied by another whole number to equal a given number or product.

Common misconception

Pupils try to represent numbers as an array with an unequal amount in rows and columns.

Ensure pupils are given time to explore representing numbers as arrays and identifying where the numbers in a multiplication equation come from within their array.

Keywords

Row - Objects lying side by side in a horizontal line is known as a row.
Column - A column is an arrangement of objects one above the other in a vertical line.
Array - An array is when items are arranged in rows and/or columns.
Factor - Factors are whole numbers which exactly divide another whole number.
Product - The product is the result of two numbers (factors) multiplied together.