A florist has 36 roses and 48 carnations. She wants to arrange them into identical bouquets with no flowers left over.
- Write down all the common factors of 36 and 48.
- Find the sum of all the common factors of 36 and 48.
Need a hint?
List all the factors of 36 first, then check which ones also divide 48 exactly.
Worked answer
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Common factors: 1, 2, 3, 4, 6, 12
- Sum: 1 + 2 + 3 + 4 + 6 + 12 = 28
Answer: 28
The mistake this question tests
Habit
Factors and multiples (HCF, LCM)
Pupils often miss out 12 as a common factor because they stop checking after 6, or they include 8 and 9 which are factors of only one number.
How to fix it at home →More PSLE whole numbers questions
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See the answer →Practise PSLE whole numbers until the mistakes stop.
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