Factors Of 6 – With Division and Prime Factorization

factors of 6

Factors of 6

Factors of 6 are the numbers that divide 6 with no reminders. We have overall 4 factors of 6 i.e. 1, 2, 3 and 6. The biggest factor is 6 in this row, while 1 is the smallest one. The sum of all factors of 6 makes 12. Similarly, its prime factors are 1, 2, 3, 6 respectively. (1, 6) and (2, 3) are its Pair Factors.

What are the Factors of 6?

Factors of 6 are the numbers that divide 6 with no reminders.

For example, 

6 ÷ 1= 6

In this case, six is the quotient, and zero is the remainder. This means that six is divisible by one.

Similarly, we get

6 ÷ 2 = 3

6 ÷ 3 = 2

6 ÷ 6 = 1

Thus, all possible factors of 6 are 1, 2, 3, and 6.

Notables:

  • Factors of 6 are 1, 2, 3, and 6.
  • 1 is a universal or primary factor of all numbers.
  • The number itself divides itself exactly, as it is a factor of the number.
  • The factors of 6 in pairs are (2, 3), (3, 2), (6, 1), and (1, 6).
  • 2 and 3 are the prime factors of 6.

How to Calculate the Factors of 6?

The process is very simple with prime factorization. By expressing 6 as a product of its prime factors, we can see what numbers divide it exactly without leaving a remainder.

Factors of 6 by Division Method

We know that 6 is a composite number because it has more than two factors, and it will have prime factors. To find the factors of 6 we will first use the division method.

The first step is to divide the number 6 with the smallest prime factor, say 2, and so on.

6 ÷ 1= 6

6 ÷ 2 = 3

6 ÷ 3 = 2

6 ÷ 6 = 1

Without counting the factional value as a factor, we have seen that the division shows that the number 6 is exactly divisible by 1, 2, 3, and 6.

Accordingly, the factors of 6 by division method are 1, 2, 3, and 6.

factors of 6

Use illustrations and interactive examples to explore factors: 

Factors of 5

The factors of 5 are 1 and 5.

Factors of 7

The factors of 7 are 1 and 7.

Factors of 8

The factors of 8 are 1, 2, 4, and 8.

Factors of 9

The factors of 9 are 1, 2, 3, and 9.

Factors of 10

The factors of 10 are 1, 2, 5, and 10.

Factors of 6 by Prime Factorization Method

The factor tree method can be used to determine the prime factors of 6 as follows:

factors of 6

The factors of 6 are 1, 2, 3, and 6 when using the prime factorization method.

The prime factors of 6 are 2 and 3, where numbers 2 and 3 are prime numbers. We know that 1 is not a composite nor prime number, while 6 is also not a prime number. So excluding these two, we have only 2 and 3 as prime factors of 6.

Factors of 6 in Pairs

To find the factors of 6 in pairs, we multiply the two numbers in a pair to get the resultant number as the number 6.  We can have a positive and negative pair to get the product, i.e. 6. 

  • Positive Pairs

1 × 6 = 6 (1, 6) is a pair factor 

2 × 3 = 6 (2, 3) is a pair factor 

3× 2 = 6 (3, 2) is a pair factor 

6 × 1 = 6 (6, 1) is a pair factor 

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

  • Negative Pairs

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

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

-3× -2 = 6 (-3, -2) is a pair factor 

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

As we have seen, there are negative factor pairs of 6 as well. The negative pairs also give 6 as the result when we multiply them. 

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

  • Factors of 6: 1, 2, 3 and 6
  • Negative Factors of 6: -1, -2, -3 and -6
  • Prime Factors of 6: 2, 3
  • Prime Factorization of 6: 2 × 3 = 2 × 3
  • Sum of Factors of 6: 12

FAQs

What are the Factors of 6?

In the case of 6, the positive factors are 1, 2, 3, 6 and the negative factors are -1, -2, -3, -6.

What are the common factors of 6 and factors of 3?

Since 1, 2, 3, 6 are factors of 6 and 1, 3 are factors of 3. Therefore, (1, 3) are the common factors of 6 and 3.

How many prime factors are there in factors of 6?

2 and 3 are the prime factors of 6.

What is the Sum of the Factors of 6?

The sum of factors of 6 is 12. It is because 1 + 2 + 3 + 6 = 12

What is the Greatest Common Factor of 6 and 3?

The factors of 6 are 1, 2, 3, 6, and 1, 3  are the factors of 3, so common factors of 6 and 3 are (1, 3). Thus, the Greatest Common Factor (GCF) of 6 and 3 is 3.

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