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Maths Quiz - Level 3-4 Algebra - Factors (Questions)

If you're into KS3 Maths, you've probably met the friendly bunch called factors. Ever since you rocked your times tables, factors have been your pals. Now, in the world of algebra, factors become even more handy.

Factors of a number are the cool numbers that divide into it with no leftovers. Think of them as times table buddies. For example, 64 is friends with 1, 2, 4, 8, 16, 32, and 64 because they all fit into its times tables.

Make Learning Exciting - Explore how quizzes help

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But here's the trick: when you divide one number by another, it's only a factor if you get a whole number. Take a shot at the quiz to test your factor-finding skills. Go slow, read each question carefully, and show those factors who's boss!

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1. Is 4 a factor of 21?
[ ] Yes
[ ] No
[ ] Seldom
[ ] Often
2. Which of these is a factor of 33?
[ ] 7
[ ] 9
[ ] 11
[ ] 13
3. Which of these is a factor of 66?
[ ] 3
[ ] 4
[ ] 8
[ ] 12
4. Which of these is not a factor of 60?
[ ] 10
[ ] 15
[ ] 20
[ ] 25
5. Which of these is a factor of 70?
[ ] 9
[ ] 10
[ ] 11
[ ] 12
6. Which of these is not a factor of 80?
[ ] 2
[ ] 3
[ ] 4
[ ] 5
7. A number which divides exactly into two other numbers is what sort of factor of those numbers?
[ ] Cheap
[ ] Expensive
[ ] Common
[ ] Frequent
8. Which of the following is a factor pair of 32?
[ ] 2 and 14
[ ] 2 and 16
[ ] 2 and 18
[ ] 2 and 20
9. Which of these sets of numbers are all factors of 80?
[ ] 2, 4, 8, 16
[ ] 2, 4, 8, 12
[ ] 4, 8, 16, 18
[ ] 2, 4, 14, 20
10. Which of these sets of numbers are not all factors of 100?
[ ] 2, 4, 10
[ ] 5, 10, 20
[ ] 2, 20, 50
[ ] 20, 40, 50

You can find more about this topic by visiting BBC Bitesize - Prime numbers, factors and multiples

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Maths Quiz - Level 3-4 Algebra - Factors (Answers)
1. Is 4 a factor of 21?
[ ] Yes
[x] No
[ ] Seldom
[ ] Often
If you divide 4 into 21 the answer is 5.25. Because the answer is NOT a whole number, 4 is NOT a factor of 21
2. Which of these is a factor of 33?
[ ] 7
[ ] 9
[x] 11
[ ] 13
11 is the only one that can be divided into 33 and produce a whole number
3. Which of these is a factor of 66?
[x] 3
[ ] 4
[ ] 8
[ ] 12
22 x 3 = 66
4. Which of these is not a factor of 60?
[ ] 10
[ ] 15
[ ] 20
[x] 25
The 25 times table goes from 50 to 75. 60 is not in it
5. Which of these is a factor of 70?
[ ] 9
[x] 10
[ ] 11
[ ] 12
7 x 10 = 70
6. Which of these is not a factor of 80?
[ ] 2
[x] 3
[ ] 4
[ ] 5
26 x 3 = 78 and 27 x 3 = 81. 80 cannot be divided by 3 to a whole number
7. A number which divides exactly into two other numbers is what sort of factor of those numbers?
[ ] Cheap
[ ] Expensive
[x] Common
[ ] Frequent
The two numbers have that factor in common
8. Which of the following is a factor pair of 32?
[ ] 2 and 14
[x] 2 and 16
[ ] 2 and 18
[ ] 2 and 20
An easy one this. 2 x 16 = 32
9. Which of these sets of numbers are all factors of 80?
[x] 2, 4, 8, 16
[ ] 2, 4, 8, 12
[ ] 4, 8, 16, 18
[ ] 2, 4, 14, 20
In all the incorrect answers there is a number that will not divide into 80 and give a whole number as the result
10. Which of these sets of numbers are not all factors of 100?
[ ] 2, 4, 10
[ ] 5, 10, 20
[ ] 2, 20, 50
[x] 20, 40, 50
In the correct answer, 40 cannot be divided into 100 and give a whole number as the result