New
New
Year 5

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

I can explain what a factor is and find factors using arrays and known multiplication and division facts.

New
New
Year 5

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

I can explain what a factor is and find factors using arrays and known multiplication and division facts.

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## Lesson details

### Key learning points

1. 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.

Use square tiles with pupils representing numbers as arrays as this will help pupils to make complete rectangles which will help connect their understanding of factorising algebraic equations in their later education.
Teacher tip

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
What multiplication fact does this array represent?
Correct answer: 4 × 8 = 32
2 × 16 = 32
Correct answer: 8 × 4 = 32
4 × 32 = 8
Q2.
What are the factors shown by this array?
9 and 54
6 and 54
Correct answer: 9 and 6
Q3.
How many groups of 7 counters can be made from 56 counters?
Q4.
Which of these have a product of 30?
20 + 10 =
Correct answer: 10 × 3 =
Correct answer: 1 × 30 =
100 - 70 =
Q5.
Match the expressions to the correct product.
Correct Answer:4 × 11,44

44

Correct Answer:9 × 8,72

72

Correct Answer:4 × 6,24

24

Correct Answer:3 × 7,21

21

Q6.
What is the area of this rectangle? cm\$\$^2\$\$
Correct Answer: 96, 96 cm

## Exit quiz

### 6 Questions

Q1.
What is the value of the row in this array?
Q2.
What multiplication does this array represent?
Correct answer: 6 × 7 = 42
7 × 7 = 42
Correct answer: 7 × 6 = 42
42 × 7 = 6
Q3.
Look at the array. Match the values to the correct word.

factor

factor

product

Q4.
Which of these are correct arrays for 16?
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Q5.
Look at this array. Which division equation is correctly represented?
Correct answer: 108 ÷ 8 = 12
8 ÷ 12 = 108
Correct answer: 108 ÷ 12 = 8
12 ÷ 8 = 108
Q6.
Which of these are factors of 54?