# Factors | Factors of 8, factors of 24 | Find the factors of 72

In this chapter we are learn how to find factors of the given numbers. Here We will try to explain this lesson in an easy way. We hope that you will understand it well. Here we will try to explain factors through some important questions like factors of 2, factors of 24, factors of 12, factors of 18, factors of 30, factors of 45, factors of 8.

## Factors

The numbers which perfectly divides a number, called factors.

1 is the factor of every numbers.

Factor prime numbers are always 1 and the number itself.

### Finding Factors of a Number

**Example – John wants to find out those numbers which perfectly divide 4. He divides 4 by 4 and smaller numbers like this :**

4 ÷ 1

\(\displaystyle \begin{array}{l}1\overset{4}{\overline{\left){4}\right.}}\\\underline{{-\,4\,\,\,}}\\\underline{{\,\,\,\,\times \,\,\,}}\end{array}\)

Quotient is 4

Remainder is 0

4 ÷ 2

\(\displaystyle \begin{array}{l}2\overset{2}{\overline{\left){4}\right.}}\\\underline{{-\,\,4\,\,\,}}\\\underline{{\,\,\,\,\,\times \,\,\,}}\end{array}\)

Quotient is 2

Remainder is 0

4 ÷ 3

\(\displaystyle \begin{array}{l}3\overset{1}{\overline{\left){4}\right.}}\\\underline{{-\,\,3\,\,\,}}\\\underline{{\,\,\,\,\,1\,\,\,}}\end{array}\)

Quotient is 1

Remainder is 1

4 ÷ 4

\(\displaystyle \begin{array}{l}4\overset{1}{\overline{\left){4}\right.}}\\\underline{{-\,\,4\,\,\,}}\\\underline{{\,\,\,\,\,\times \,\,\,}}\end{array}\)

Quotient is 1

Remainder is 0

Jhon – 1, 2 and 4 are numbers which perfectly divides 4. Hence 1, 2 and 4 are factors of the number 4. So 4 can also be written as 1 × 4 and 2 × 2.

Some more Important Examples of Factors

## 1. Find the Factors of 24.

Solutions : To find factors of 24, first we divides 24 by 24 and smaller numbers like this :

24 ÷ 2 = 12

24 ÷ 3 = 8

24 ÷ 4 = 6

24 ÷ 6 = 4

24 ÷ 8 = 3

24 ÷ 12 = 2

24 ÷ 24 = 1

So the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

2. Find the Factors of 12.

Solutions : To find factors of 12, first we divides 12 by 12 and smaller numbers like this :

12 ÷ 1 = 12

12 ÷ 2 = 6

12 ÷ 3 = 4

12 ÷ 4 = 3

12 ÷ 6 = 2

12 ÷ 12 = 1

So the factors of 12 are 1, 2, 3, 4, 6 and 12.

### 3. Find the Factors of 18.

Solutions : To find factors of 18, first we divides 18 by 18 and smaller numbers like this :

18 ÷ 1 = 18

18 ÷ 2 = 9

18 ÷ 3 = 6

18 ÷ 6 = 3

18 ÷ 9 = 2

18 ÷ 18 = 1

So the factors of 18 are 1, 2, 3, 6, 9 and 18.

### 4. Find the Factors of 30.

Solutions : To find factors of 30, first we divides 30 by 30 and smaller numbers like this :

The number to which it is divided should not remain a remainder.

30 ÷ 1 = 30

30 ÷ 2 = 15

30 ÷ 3 = 10

30 ÷ 5 = 6

30 ÷ 6 = 5

30 ÷ 10 = 3

30 ÷ 15 = 2

30 ÷ 30 = 1

So the factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30.

### 5. Find the Factors of 45.

Solutions : To find factors of 45, first we divides 45 by 45 and smaller numbers like this :

The number to which it is divided should not remain a remainder.

45 ÷ 1 = 45

45 ÷ 3 = 15

45 ÷ 5 = 9

45 ÷ 9 = 5

45 ÷ 15 = 3

45 ÷ 45 = 1

So the factors of 45 are 1, 3, 5, 9, 15 and 45.

### 6. Find the Factors of 8.

Solutions : To find factors of 8, first we divides 8 by 8 and smaller numbers like this :

The number to which it is divided should not remain a remainder.

8 ÷ 1 = 8

8 ÷ 2 = 4

8 ÷ 4 = 2

8 ÷ 8 = 1

So the factors of 8 are 1, 2, 4 and 8.

### 7. Find the Factors of 2.

Solutions : To find factors of 2, first we divides 2 by 2 and smaller numbers like this :

2 ÷ 1 = 2

2 ÷ 2 = 1

So the factors of 2 are 1 and 2.

### 8. Find the factors of 9.

Solutions : To find factors of 9, first we divides 9 by 9 and smaller numbers like this :

9 ÷ 1 = 9

9 ÷ 3 = 3

9 ÷ 9 = 1

So the factors of 9 are 1, 3 and 9.

#### 9. Find the factors of 13.

Solutions : To find factors of 13, first we divides 13 by 13 and smaller numbers like this :

13 ÷ 1 = 13

13 ÷ 13 = 1

So the factors of 13 are 1 and 13.

#### 10. Find the factors of 11.

Solutions : To find factors of 13, first we divides 13 by 13 and smaller numbers like this :

Factor prime numbers are always 1 and the number itself.

11 ÷ 1 = 11

11 ÷ 11 = 1

So the factors of 11 are 1 and 11.

#### 11. Find the factors 7.

Solutions : To find factors of 7, first we divides 7 by 7 and smaller numbers like this :

Factor prime numbers are always 1 and the number itself.

7 ÷ 1 = 7

7 ÷ 7 = 1

So the factors of 7 are 1 and 7.

#### 12. Find the factors of 75.

Solutions : To find factors of 75, first we divides 75 by 75 and smaller numbers like this :

75 ÷ 1 = 75

75 ÷ 3 = 25

75 ÷ 5 = 15

75 ÷ 15 = 5

75 ÷ 25 = 3

75 ÷ 75 = 1

So the factors of 75 are 1, 3, 5, 15, 25 and 75.

### 12. Find the factors of 48.

Solutions : To find factors of 48, first we divides 48 by 48 and smaller numbers like this :

48 ÷ 1 = 48

48 ÷ 2 = 24

48 ÷ 3 = 16

48 ÷ 4 = 12

48 ÷ 6 = 7

48 ÷ 8 = 6

48 ÷ 12 = 4

48 ÷ 16 = 3

48 ÷ 24 = 2

48 ÷ 48 = 1

So the factors of 48 are 1, 2, 3, 4, 6, 7, 12, 16, 24 and 48.

## 13. Find the factors of 72

Solutions : To find factors of 72, first we divides 72 by 72 and smaller numbers like this :

72 ÷ 1 = 72

72 ÷ 2 = 36

72 ÷ 3 = 24

72 ÷ 4 = 18

72 ÷ 6 = 12

72 ÷ 8 = 9

72 ÷ 12 = 6

72 ÷ 18 = 4

72 ÷ 24 = 3

72 ÷ 36 = 2

72 ÷ 72 = 1

So the factors of 72 are 1, 2, 3, 4, 6, 9 12, 18, 24, 36 and 72.

12. Find the factors of 48.

Solutions : To find factors of 48, first we divides 48 by 48 and smaller numbers like this :

48 ÷ 1 = 48

48 ÷ 2 = 24

48 ÷ 3 = 16

48 ÷ 4 = 12

48 ÷ 6 = 7

48 ÷ 8 = 6

48 ÷ 12 = 4

48 ÷ 16 = 3

48 ÷ 24 = 2

48 ÷ 48 = 1

So the factors of 48 are 1, 2, 3, 4, 6, 7, 12, 16, 24 and 48.

12. Find the factors of 48.

Solutions : To find factors of 48, first we divides 48 by 48 and smaller numbers like this :

48 ÷ 1 = 48

48 ÷ 2 = 24

48 ÷ 3 = 16

48 ÷ 4 = 12

48 ÷ 6 = 7

48 ÷ 8 = 6

48 ÷ 12 = 4

48 ÷ 16 = 3

48 ÷ 24 = 2

48 ÷ 48 = 1

So the factors of 48 are 1, 2, 3, 4, 6, 7, 12, 16, 24 and 48.

### 12. Find the factors of 20.

Solutions : To find factors of 48, first we divides 48 by 48 and smaller numbers like this :

20 ÷ 1 = 20

20 ÷ 2 = 10

20 ÷ 4 = 5

20 ÷ 5 = 4

20 ÷ 10 = 2

20 ÷ 20 = 1

So the factors of 20 are 1, 2, 4, 5, 10 and 20.

## 12. Find the factors of 60.

Solutions : To find factors of 60, first we divides 60 by 60 and smaller numbers like this :

60 ÷ 1 = 60

60 ÷ 2 = 30

60 ÷ 3 = 20

60 ÷ 4 = 15

60 ÷ 5 = 12

60 ÷ 6 = 10

60 ÷ 10 = 6

60 ÷ 12 = 5

60 ÷ 15 = 4

60 ÷ 20 = 3

60 ÷ 30 = 2

60 ÷ 60 = 1

So the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.