Starter quiz
- Match the divisibility rules.
- The number is divisible by 4⇔if halving it gives an even value. ✓
- The number is divisible by 6⇔if it is divisible by both 2 and 3 ✓
- The number is divisible by 8⇔if halving a number twice gives an even value. ✓
- The number is divisible by 3⇔if the sum of the digits is divisible by 3 ✓
- Which statements are true?
- 18 is divisible by 3 ✓
- 18 is divisible by 4
- 18 is divisible by 6 ✓
- 18 is divisible by 8
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- Which statements are not true?
- 30 is divisible by 3
- 30 is divisible by 4 ✓
- 30 is divisible by 6
- 30 is divisible by 8 ✓
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- True or false? 90 is divisible by 6
- True ✓
- False
- Which statements are true?
- 125 is divisible by 3
- 700 is divisible by 8
- 600 is divisible by 4 ✓
- 54 is divisible by 6 ✓
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- True or false. 48 is divisible by 3, 4, 6 and 8
- True ✓
- False
Exit quiz
- Match the divisibility rules
- Divisible by 2⇔the ones digit is even ✓
- Divisible by 5⇔the ones digit is 5 or 0 ✓
- Divisible by 10⇔the ones digit is 0 ✓
- Divisible by 9⇔the sum of the digits is divisible by 9 ✓
- Which statements are true?
- 30 is divisible by 3 ✓
- 30 is divisible by 6 ✓
- 30 is divisible by 9
- 30 is divisible by 5 ✓
- 30 is divisible by 4
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- Which statements are not true?
- 60 is divisible by 2 and 4
- 45 is divisible by 9 and 6 ✓
- 40 is divisible by 4 and 10
- 72 is divisible by 8 and 5 ✓
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- True or false. 198 is divisible by 9
- True ✓
- False
- There are 228 competitors at a sports event. They are put into an equal number of teams. How many teams could there be?
- 3 ✓
- 4 ✓
- 8
-
- If there are 390 books in the library and they are organised equally onto shelves, how many shelves could there be?
- 10 ✓
- 9
- 8
- 6 ✓
- 5 ✓
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Worksheet
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Lesson Details
Key learning points
- There are divisibility rules for 2, 4 and 8 which involve halving, halving twice and halving three times.
- Multiples of 10 have a zero in the ones and multiples of 5 have a 5 or a zero in the ones.
- Multiples of 3 have a digit sum of 3
- Multiples of 6 are even numbered multiples of 3
Common misconception
Pupils may struggle to apply multiple divisibility rules simultaneously.
Have the rules visible, practise applying multiple rules step-by-step to ensure understanding and accuracy.
Keywords
Divisible - divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
Divisibility rules - divisibility rules let you test if one number is divisible by another, without having to do too much calculation.
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