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      Use divisibility rules for multiples of 6

      Lesson details

      Learning outcome

      I can use divisibility rules for multiples of 6

      Key learning points

      1. For every one group of 6 there are two groups of 3
      2. For a number to be divisible by 6, it must be divisible by both 2 and 3

      Keywords

      • Digit sum - The sum of the digits of a number is called its digit sum.

      • Divisible / divisibility - Divisibility is when division of a number results in another whole number. A number is divisible by another if it can be shared exactly with no remainder.

      • Multiple - A multiple is the result of multiplying a number by another whole number.

      Common misconception

      Lack of understanding of key terms such as: 'digit,' 'number.' Pupils may also forget how to identify an even number.

      Remind children that even numbers end in 0, 2, 4, 6 or 8. Explain clearly the difference between the key terms and encourage children to test the divisibility rule on both 3 digit and 4 digit numbers.

      Teacher tip

      Encourage children to test the divisibility rule starting with 2 digit numbers then moving on to 3 and 4 digit numbers. The commutative law is explored whereby a + b = b + a. Continue to chorally rehearse the 6times tables.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      What single number fits into this gaps to make this correct? 18 ÷ 6 =

      An image in a quiz
      Correct Answer: 3

      Q2.
      Order the multiples of 6 from the lowest to highest.

      1 - 36
      2 - 42
      3 - 48
      4 - 54
      5 - 72

      Q3.
      Identify the multiples of 6

      Correct answer: 6
      Correct answer: 12
      16
      Correct answer: 18
      Correct answer: 54

      Q4.
      Match the expressions to the products.

      Correct Answer:6 × 6,36

      36

      Correct Answer:6 × 7,42

      42

      Correct Answer:6 × 9,54

      54

      Correct Answer:6 × 5,30

      30

      Correct Answer:6 × 8,48

      48

      Q5.
      Andeep has 72 guinea cards and shares them between 6 friends. How many cards does each friend get?

      Correct Answer: 12

      Q6.
      A bakery has baked 420 cupcakes. They are packed into boxes of 6. Which calculations will help to solve this problem?

      Correct answer: 42 tens ÷ 6
      Correct answer: 6 × 7 tens
      60 + 60 + 60
      420 − 6

      6 Questions

      Q1.
      Select the even numbers.

      7
      Correct answer: 18
      25
      Correct answer: 28
      33

      Q2.
      Select the multiples of 6

      Correct answer: 24
      Correct answer: 36
      Correct answer: 54
      46
      52

      Q3.
      Select the numbers that are exactly divisible by 2

      Correct answer: 308
      455
      667
      Correct answer: 700
      989

      Q4.
      Is 8,223 a multiple of 6?

      Yes
      Correct answer: No

      Q5.
      Is 732 a multiple of 6?

      Correct answer: Yes
      No

      Q6.
      Is 7,014 a multiple of 6?

      Correct answer: Yes
      No

      To help you plan your 4 maths lesson on: Use divisibility rules for multiples of 6, download all teaching resources for free and adapt to suit your pupils' needs...