In mathematics, factors are numbers that can be multiplied together to produce a result. The factors of 6 are 1, 2, 3, and 6. These factors can also be represented in pairs: 1 and 6, 2 and 3, and -1 and -6. The prime factorization of 6 is 2 x 3 = 6. This means that the only two prime factors of 6 are 2 and 3. Finally, the negative factors of 6 are -1,-2,-3,-4,-5,-6.

**Introduce the factors of 6 and their importance**

The factors of 6 are the numbers that divide six exactly without leaving a remainder. In other words, the factors of six are the numbers that are multiplied in pairs to result in the original number 6.

As 6 is an even composite number, it has many factors other than 1 and 6. Thus, the factors of 6 include 1, 2, 3, and 6. Similarly, the negative pair factors of six are -1, -2, -3, and -6.

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**How to find the factors of 6**

To find the factors of six, we can use a few different methods. The first method is to simply list out all of the numbers that divide evenly into six. These numbers are called the factors of six. The factors of six are: 1, 2, 3, and 6.

**Pair Factors of 6**

Another way to find the factors of 6 is by looking at what numbers can be multiplied together to equal 6. These are called the pair factors of 6. The pair factors of six are: 1 and 6, two and 3.

**Prime Factorization of 6**

The number 6 is a composite number and it should have prime factors. Prime factorization is the process of finding the prime factors of a composite number. Let’s see how to calculate the prime factors of 6.

**Step 1: **The first step is to divide the number 6 with the smallest prime factor, say 2.

6 ÷ 2 = 3

**Step 2: **Again if you divide 3 by 2, you will get a fractional value. So proceed with the next prime number say 3.

3 ÷ 3 = 1

Finally, you received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 6 are written as 2 × 3, where 2 and 3 are prime numbers.