 # Factors of 6

The factors of 6 are 1, 2, 3 and 6. Factors are the numbers, that can divide the original number, evenly. Also, when two integers are multiplied together to get 21 as a result, then they are called pair factors of the produced number.

Consider an example, the factor pairs of 43 are written as (1, 43) and (-1, -43). When we multiply the pair of negative factors, the result should give the original number, such as multiplying -1 × -43, then we get the number 43. Thus, we can consider both positive and negative factor pairs of 43. Factor pairs of the number 6 are the whole numbers which could be either positive or negative but not a fraction or decimal number.

 1 2 3 4 5 6

In the above table, the bolded numbers show the factors of number 6, such as 1, 2, 3 and 6. So, basically in the multiples of 1, 2, 3 and 6 the number 6 appears once. Whereas 4 and 5 are not the factors because their multiples do not hold number 6.  Let us see how;

 Number Multiples 1 1,2,3,4,5,6,.. 2 2,4,6,8,… 3 3,6,9,12,.. 4 4,8,12,.. 5 5,10,15,… 6 6,12,18,…

To find the factors of a number, 6, we will use the factorization method. In the factorization method, first take the numbers, 1 and 6 as factors of 6 and proceed with finding the other pair of multiples of 6 which gives the results as an original number. To understand this method in a better way, read the article below to find factor 6 in pairs and also the division method to find the prime factors of 6 is discussed.

Also, see:

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## Pair Factors of 6

To find the pair factors of 6, multiply the two numbers in a pair to get the original number as 6, such numbers are as follows

If 1 × 6 = 6, then (1, 6) is a pair factor of 6.

Similarly,

2 × 3 = 6, (2, 3) is a pair factor of 6

Therefore, the positive pair factors of 6 are (1, 6), and (2, 3).

To find the negative pair factors of 6, then proceed with the following steps

If -1 × -6 = 6, then (-1,- 6) is a pair factor of 6

Similarly,

-2 × -3 = 6, (-2, -3) is a pair factor of 6

Therefore, the negative pair factors of 6 are (-1, -6), and (-2,- 3).

Note: We cannot consider any negative number to be the factor of a number.

### How to calculate the Factors of 6?

Learn the following steps to calculate the factors of 6.

• First, write the number 6
• Find the two numbers, which gives the result as 6 under the multiplication, say 2 and 3, such as 2 × 3 = 6.
• We know that 2 and 3 are the prime numbers which have only two factors, i.e., 1 and the number itself( 1 and 2) and (1 and 3). So, it cannot be further factorized.

2 = 2 × 1

3 = 3 x 1

• Therefore, the factorization of 6 is written as, 6 = 2 × 3 × 1
• Finally, write down all the unique numbers which we can be obtained
 Factors of 6 1, 2, 3, and 6

### Prime Factors of 6 By Division Method

The number 6 is a composite and it should have prime factors. Now let us know 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.

It is possible to find the exact number of factors with the help of prime factorisation. The prime factor of the 6 is 2 x 3. The exponent in the prime factorisation is 1 and 1. When you add the number 1 with the exponent, it becomes (1+1)(1+1) = 2 x 2 =4. Therefore, the number 6 has 4 factors.

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