**Factors of 204**

We have to find the factors of number 204. Factors are the numbers which when divided by number 204 we get the factors.

When we make pair of factors the multiplication of pair of factors gives the given number.

**Steps to find Factors of 204:**

1) Firstly we divide given number 204 to get remainder 0.

2) After getting answers all numbers we get are called Factors of given number.

3) 1 is the only number having factor of all numbers.

4) The given number itself is the highest factor of given number.

We find factors of 204:

Here,

We get factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 and 204

We know,

A number which has more than two factors is called **composite number**.

A number 204 has more than two factors.

Hence, 204 is **composite number**.

Also

We know,

A number which is not divided by any other number is called **prime number.**

In factors of 204 we get 2^2, 3 and17are the **prime number.**

**Now **we find prime factorization of 204 by using LCM.

Prime factors of 204 = 2 x 2 x 3 x 17

**Prime factors of 204 =2^2 x 3^1 x 17^1**

**There are 12 factors of 204 i.e. ** **1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 and 204**

**When we make pairs of factors the multiplication of that two factors is the given number itself.**

**Pairs of factors of 204: 1 x 204, 2 x 102,3 x 68, 4 x 51, 6 x 34, 12 x 17.**

**Pairs of factors of 204:** **(1, 204), (2, 102), (3, 68), (4, 51), (6, 34), (12, 17).**

**We know Multiplication Property,**

**a x b = b x a**

**I.e. Pairs of factors of 204: ****(1, 204), (2, 102), (3, 68), (4, 51), (6, 34), (12, 17).**

**All factors of 204 = **

**Prime factor of 204 = 2^2 x 3^1 x 17^1****Sum of all factors of 204 = 1 + 2 + 3+ 4 + 6 + 12+ 17 + 34 + 51 + 68 + 102 + 204 = 504**

**Pairs of factors of 204: ****(1, 204), (2, 102), (3, 68), (4, 51), (6, 34), (12, 17).**** and (204, 1) (102, 2),(68, 3),(51, 4) ,(34,6),(17,12) is same.**