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11 and 33 are factors of 66.

# Level 3-4 Algebra - Factors

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.

1.
Which of these sets of numbers are not all factors of 100?
2, 4, 10
5, 10, 20
2, 20, 50
20, 40, 50
In the correct answer, 40 cannot be divided into 100 and give a whole number as the result
2.
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
In all the incorrect answers there is a number that will not divide into 80 and give a whole number as the result
3.
Which of the following is a factor pair of 32?
2 and 14
2 and 16
2 and 18
2 and 20
An easy one this. 2 x 16 = 32
4.
Which of these is a factor of 33?
7
9
11
13
11 is the only one that can be divided into 33 and produce a whole number
5.
Which of these is not a factor of 80?
2
3
4
5
26 x 3 = 78 and 27 x 3 = 81. 80 cannot be divided by 3 to a whole number
6.
Is 4 a factor of 21?
Yes
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
7.
Which of these is not a factor of 60?
10
15
20
25
The 25 times table goes from 50 to 75. 60 is not in it
8.
Which of these is a factor of 70?
9
10
11
12
7 x 10 = 70
9.
A number which divides exactly into two other numbers is what sort of factor of those numbers?
Cheap
Expensive
Common
Frequent
The two numbers have that factor in common
10.
Which of these is a factor of 66?
3
4
8
12
22 x 3 = 66
You can find more about this topic by visiting BBC Bitesize - Prime numbers, factors and multiples

Author:  Frank Evans
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