1
2 marks
2 marksWrite 220 as the product of its prime factors.
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Syllabus Edition
First teaching 2023
First exams 2025
|
Prime Factors, HCF & LCM (CIE IGCSE Maths: Core)
Exam Questions
1 hour24 questions
21 mark
1 markFind the highest odd number that is a factor of 60 and a factor of 90.
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32 marks
2 marksFind the lowest common multiple (LCM) of 8 and 14.
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42 marks
2 marksWrite 54 as a product of its prime factors.
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52 marks
2 marksWrite 18 as the product of its prime factors.
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62 marks
2 marksFind the lowest common multiple (LCM) of 15 and 27.
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12 marks
2 marksWrite 825 as the product of its prime factors.
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22 marks
2 marksFind the lowest common multiple (LCM) of 48 and 60.
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32 marks
2 marksWrite 195 as a product of its prime factors.
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44 marks
4 marksi)
Write 60 as a product of its prime factors.
[2]
ii)
Find the lowest common multiple (LCM) of 36 and 60.
[2]
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52 marks
2 marksWrite 432 as the product of its prime factors.
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62 marks
2 marksFind the highest common factor (HCF) of 24 and 108.
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72 marks
2 marksFind the highest common factor (HCF) of 90 and 48.
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82 marks
2 marksFind the lowest common multiple (LCM) of 28 and 35.
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13 marks
3 marksAt a bus stop
- a red bus arrives every 18 minutes
and
- a blue bus arrives every 24 minutes.
At 1047 a red bus and a blue bus arrive.
Find the next time when a red bus and a blue bus arrive together.
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22 marks
2 marksFind the highest common factor (HCF) of 126 and 180.
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32 marks
2 marksi)
Find the highest common factor (HCF) of 36 and 90.
[2]
ii)
Find the lowest common multiple (LCM) of 36 and 90.
[2]
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43 marks
3 marksGerry and Alain run around a running track.
To run around the track once
- Gerry always takes 90 seconds
- Alain always takes 105 seconds.
They start together at the same point.
After how many minutes are they next together at that point?
........................................ min
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54 marks
4 marksi)
Find the highest common factor (HCF) of 28 and 98.
[2]
ii)
Find the lowest common multiple (LCM) of 28 and 98.
[2]
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65 marks
5 marksTalan completes one lap of a track every 80 seconds.
i)
Work out how many laps he can complete in one hour.
[2]
ii)
Naima completes one lap of the same track every 88 seconds.
Talan and Naima start running from pointÂ
on the track at the same time.
They each complete a number of laps of the track.
Talan and Naima start running from pointÂ
on the track at the same time.They each complete a number of laps of the track.
Work out the smallest number of laps they each complete before they are both at point again at the same time.
again at the same time.Talan completes ................. laps and Naima completes ................. laps. [3]
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72 marks
2 marksFind the highest common factor (HCF) of 90 and 48.
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82 marks
2 marksFind the lowest common multiple (LCM) of 28 and 35.
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