Factors of 6

The factors of 6 are 1, 2, 3 and 6. Factors are the numbers, that produce the original number when two numbers are multiplied together. Consider an example, the factor pairs of 43 is 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:

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).

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.

Stay tuned with BYJU’S to know about factor 6 and the factors and prime factors of other numbers. Download BYJU’S – The Learning App for better experience and clarification.

Leave a Comment

Your email address will not be published. Required fields are marked *