Explain the relationship between multiples of 2 and multiples of 4 | Maths

Starter quiz

Which word describes numbers that are next to each other?

greater

adjacent ✓

groups

factors
Which number on this number line is not a multiple of 4?

'25' ✓
Which multiples of 4 are adjacent to 28?

26

30

24 ✓

32 ✓
A multiple of 4 is missing from the number line. How can we use the adjacent multiples in this example?

48 - 4 ✓

40 + 4 ✓

Count along the number line up to the missing number
Izzy knows that 13 × 4 = 52. She used the known fact of 12 × 3 = 48 and ______ 4.

added ✓

subtracted
Using your knowledge of groups, order the calculations starting with the smallest multiple.

1

⇔

4 × 4

2

⇔

5 × 4

3

⇔

4 × 8

4

⇔

10 × 4

Exit quiz

Which numbers are multiples of 2 and multiples of 4?

12 ✓

14

16 ✓

20 ✓

22
Look at the image. Match the size of the group to the number of groups.

Groups of 2 =

⇔

8 ✓

Groups of 4 =

⇔

4 ✓
Match the groups of 4 to the groups of 2.

1 group of 4

⇔

2 groups of 2 ✓

2 groups of 4

⇔

4 groups of 2 ✓

3 groups of 4

⇔

6 groups of 2 ✓

4 groups of 4

⇔

8 groups of 2 ✓

5 groups of 4

⇔

10 groups of 2 ✓
Which of the statements are true?

If a factor is doubled, the product is halved

All multiples of 2 are multiples of 4

All multiples of 4 are multiples of 2 ✓

If a factor is doubled, the product also doubles ✓

If a factor is halved, the product also halves ✓
Multiples of 4 are ______ the multiples of 2.

'double' ✓
Look at the array. Match the questions to the correct answers.

How many groups of 4 are there?

⇔

6 ✓

How many groups of 2 are there?

⇔

12 ✓

6 x 4 =

⇔

24 ✓

12 x 2 =

⇔

24 ✓

Worksheet

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Lesson Details

Key learning points

Multiples of 4 are double the multiples of 2
Multiples of 2 are half the multiples of 4
Multiples of 4 are all multiples of 2 but not all multiples of 2 are multiples of 4

Common misconception

Pupils may generalise the rule and assume that when dividing by 4 is the last digit is even, then the number is divisible by 4

Show children the relationship between 2s and 4s using the multiplication chart. Make clear that identifying the last digit as even is the first step - the last 2 digits should be a multiple of 4. Encourage discussions to highlight the relationship.

Keywords

Multiple - A multiple is the result of multiplying a number by another whole number.
Doubling - Doubling is the act of becoming twice as many.
Halving - Halving means to divide into two equal parts.