Factors

# Factors of 6 | How To Write Pair Factors of 6? | Factor Tree of 6

Written by Prerit Jain

Updated on: 12 Aug 2023

### Factors of 6 | How To Write Pair Factors of 6? | Factor Tree of 6

Factors of 6: Any number which divides another number without leaving any remainder is known as a factor of 6. There are a total of four factors for the number 6, and they are 1, 2, 3, and 6. And these factors are both positive and negative. On this page, we will explain everything about how to find factors of 6. Scroll down to find out more.

## What Are the Factors of 6?

As 6 is a composite number, it means it has multiple factors. As discussed above, there are 4 factors for the number 6 and they are 1, 2, 3, and 6. The factor of 6 has both positive and negative numbers.

## What Are the Factors of 6 in Pairs?

The factors of 6 have both positive and negative pairs. Let us see the positive pair and the negative pair of factors of 6:

### Positive Pair Factors of 6

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

### Negative Pair Factors of 6

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

## How To Factors of 6 by Division Method

We can also use the division method to find out the factors of 6. To find factors of 6, using the division method, we need to divide the number 6 with a sequence of natural numbers from 1 to 6. The numbers which don’t leave any remainder are the numbers known as factors of 6. Those numbers which leave a remainder are the numbers that are not factors of 6.

• 6 ÷ 1 = 6 (Remainder = 0)
• 6 ÷ 2 = 3 (Remainder = 0)
• 6 ÷ 3 = 2 (Remainder = 0)
• 6 ÷ 4 = can’t be divided
• 6 ÷ 5 = can’t be divided
• 6 ÷ 6 = 1 (Remainder = 0)

Therefore, we can conclude that 1, 2, 3, and 6 are factors of 6.

## Prime Factorisation of 6

The composite numbers will always have prime numbers as their prime factors. The steps to find the prime factors of 6 using the prime factorization method has been provided below:

• Step 1: Firstly, we will divide 6 with 2 as it’s the smallest prime number and is divisible by 6.
• 6 ÷ 2 = 3
• Step 2: Now, since we cannot divide 3 by 2, we will divide with the next smallest prime number which is 3 because 3 can only be divided by 1 or 3 itself.
• 3 ÷ 3 = 1

Therefore, we have obtained 1 at the end. This says, that the prime factors of 6 are 2 x 3. That means 2 and 3 prime factors of 6.

Image representation of the prime factorization of 6:

## Write the Factor Tree of 6

The steps to find a factor tree of 6 is given below:

• Step 1: Firstly, write the number 6 at the top of the factor tree.
• Step 2: Now, as part of the tree’s branches, write down the pair factors of 6 that we can divide 6 with. The pair factor we have used here is 2 and 3.
• Step 3: Since 2 and 3 are prime numbers, we cannot divide them anymore.

Hence, the factors of all the numbers are prime numbers. Circling all the branches gives us factors 2, and 3. Therefore, the prime factors of 6 using a factor tree are 2 X 3 = 6.

The factor tree of 6 is given below:

## Solved Examples on Factors of 6

The solved examples of factors of 6 are given below:

What is the sum of all the factors of 6?
To find the sum of all the factors, we need to add all the factors of 6.
Adding 1 + 2 + 3 + 6 equals 12.
Hence, the sum of all factors of 6 is 12.

What are the common factors of 6 and 8?
To find the common factors of 6 and 8, we need to find the factors of both 6 and 8.
Factors of 6: 1, 2, 3, and 6.
Factors of 8: 1, 2, 4, and 8.
Hence the common factors of 6 and 8 are 1 and 2.
The highest common factor between 6 and 8 is 2.

What are the common factors of 6 and 24?
To find the common factors of 6 and 24, we need to find the factors of both 6 and 24.
Factors of 6: 1, 2, 3, and 6.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24.
Hence the common factors of 6 and 24 are 1, 2, 3, and 6.
The highest common factor between 6 and 24 is 6.

How many factors of 90 are also multiples of 6?
There are 4 factors that are factors of 90 and are also multiples of 6
These numbers are: 6, 18, 30, and 90.

What factors of 6 are also factors of 12?
Factors of 6 are 1, 2, 3, and 6.
And the 12 factors are 1, 2, 3, 4, 6, and 12.
If we see the factors of 6 that are also factors of 12, we have 1, 2, 3, and 6.

What are the 6 factors of 20?
The factors of 20 are 1, 2, 4, 5, 10, and 20.
If we see the 6 factors of 20, they are 1, 2, 4, 5, 10, and 20.

## FAQs on Factors of 6

What are the factors and prime factors of 6?
Factors of 6 are 1, 2, 3, and 6.
The prime factors of 6 are 2 and 3.

What are the composite factors of 6?
Composite numbers are those that are described as whole digits and have three or more whole number factors.
Hence 6 has only one composite number, which is the number 6 itself.

What are the factors of 6 in pairs?
(1, 6), and (2, 3) are the factors of 6 in pairs.

What are the factors of -6?
-1, -2, -3, and -6 are factors of -6.

What is the largest factor of 6?
The largest factor of 6 is 6.
The second largest factor of 6 is 3.

What are the positive factors for 6?
1, 2, 3, and 6 are the positive factors for 6.

Conclusion

That concludes the topic of factors and the prime factors of 6. We hope that this information has been helpful to you and that you are now able to quickly find the 6 elements and apply all of the methods. Feel free to leave a comment below if you have any questions or concerns regarding this topic. We will get back to you as soon as possible.

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Prerit Jain

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