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The factors of a number are the numbers that divide exactly into it. You can divide any number into any other number but it is a factor ONLY if the result is a whole number.

To give you an idea, have a go at this Math quiz on Factors.

1.

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

2.

Which of the following is a factor pair of 32?

2 and 14

2 and 16

2 and 18

2 and 20

3.

Which of these is a factor of 70?

9

10

11

12

4.

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

5.

Which of these is a factor of 66?

3

4

8

12

6.

Which of these is not a factor of 80?

2

3

4

5

7.

Which of these is not a factor of 60?

10

15

20

25

8.

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

9.

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

10.

A number which divides exactly into two other numbers is what sort of factor of those numbers?

Cheap

Expensive

Common

Frequent