Skip to content

Study Hub

Study Guides

This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.

Year 4 - Maths

Use the divisibility rules to find multiples of 3

Relationship between the 3 and 6 times tables and tests of divisibility

Unit Summary

In this unit pupils will explain the relationship between multiples of 3 and of 6. They will use this relationship and tests of divisibility for the 3- and 6-times tables to solve problems.

Lesson Summary

You know the divisibility rule for multiples of 3 and can use it with 3- and 4-digit numbers.

Key Notes

  • Numbers that can be divided by 3 and leave no remainder are divisible by 3
  • To find the digit sum of a number, add the digits in the number together so the digit sum of 17 is 1 + 7 which equals 8
  • For a number to be divisible by three, the dgit sum of the number must be a divisible by 3

Vocabulary To Learn

  • 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 Mistakes To Avoid

  • Lack of understanding of key terms such as: 'digit,' 'number.'

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

Numbers that can be divided by 3 and leave no remainder are divisible by 3. To find the digit sum of a number, add the digits in the number together so the digit sum of 17 is 1 + 7 which equals 8.

2. Use this key word in a maths sentence and explain it clearly. 'Digit sum'

The sum of the digits of a number is called its digit sum. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Lack of understanding of key terms such as: 'digit,' 'number.'. Correction: Explain clearly the difference between the two key terms and encourage children to test the divisibility rule on both 3 digit and 4 digit numbers.

More Lessons In This Unit

Browse all guides in the Year 4 Maths guide library.