Free practice on Factors and Multiples for Class 4, following the Cameroon primary school curriculum (English subsystem). Every answer is explained, so a parent who is not sure of the answer can still help.
A factor of a number divides it evenly with no remainder. Factors of 12 are 1, 2, 3, 4, 6, 12. Because 12 = 1×12 = 2×6 = 3×4.
| Number | Factors |
|---|---|
| 6 | 1, 2, 3, 6 |
| 10 | 1, 2, 5, 10 |
| 12 | 1, 2, 3, 4, 6, 12 |
| 15 | 1, 3, 5, 15 |
| 20 | 1, 2, 4, 5, 10, 20 |
A multiple is what you get when you multiply the number by 1, 2, 3, 4 … Multiples of 6: 6, 12, 18, 24, 30 … They never stop.
0 — 6 — 12 — 18 — 24 — 30
HCF = Highest Common Factor: the biggest number that divides both. HCF of 12 and 18 is 6. LCM = Lowest Common Multiple: the smallest number that both divide into. LCM of 4 and 6 is 12.
| Numbers | HCF | LCM |
|---|---|---|
| 4 and 6 | 2 | 12 |
| 6 and 9 | 3 | 18 |
| 8 and 12 | 4 | 24 |
| 10 and 15 | 5 | 30 |
Which of these is a factor of 12?
Answer: C. 6
12 = 6 × 2, so 6 is a factor.
Which is a multiple of 7?
Answer: C. 35
7 × 5 = 35.
What is the HCF of 8 and 12?
Write your answer, then check below.
Answer: 4
Factors of 8: 1,2,4,8. Factors of 12: 1,2,3,4,6,12. Highest common = 4.
What is the LCM of 3 and 4?
Write your answer, then check below.
Answer: 12
Multiples of 3: 3,6,9,12… Multiples of 4: 4,8,12… Lowest common = 12.
Write the next multiple of 9: 9, 18, 27, ___
Write your answer, then check below.
Answer: 36
All the factors of 10 are:
Answer: A. 1, 2, 5, 10
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