Factors And Multiples

Back to: Mathematics Primary 3

A factor (divisor) of a number is a number that can divide it evenly (that is, without a remainder). For example, the factors of 24 are 1, 2, 3, 4, 6, 12 and 24.  A common factor of x and y is a number that is a factor of of x and also of y. For example, 6 is a common factor of 24 and 39. A prime factor is a factor that is also a prime number. For example, the prime factor of 24 are 2 and 3. When the word “divisible” appears in a question, it means “evenly divisible” or “divisible without a remainder.”

Number	Factor
1	1
2	1, 2
3	1, 3
4	1, 2, 4
5	1, 5
6	1, 2, 3, 6
7	1, 7
8	1, 2, 4, 8
9	1, 3, 9
10	1, 2, 5, 10
11	1, 11
12	1, 2, 3, 4, 6, 12
13	1, 13
14	1, 2, 7, 14
15	1, 3, 5, 15
16	1, 2, 4, 8, 16
17	1, 17
18	1, 2, 3, 6, 9, 18
19	1, 19
20	1, 2, 4, 5,10,20
21	1, 3, 7, 21
22	1, 2, 11, 22
23	1, 23
24	1, 2, 3, 4, 6, 8, 12, 24
25	1, 5, 25

Note: The only number that has one factor is one (1)

 

MULTIPLE

A multiple of a number is a number that is evenly divisible by it. For example, 16, 32, and 88 are multiples of 8.

14, 21, 28 are multiple of 7

E.g: what are the first 3 multiple of 2, 4, 6, 10 and 12?

2 = 2, 4, 6

4 = 4, 8, 12

6 = 6, 12, 18

10 = 10, 20, 30

12 = 12, 24, 36

Quiz

1. Write out the factors of 64
2. Find the LCM of 8, 12 and 16.