Factors of 6
Factors of 6 are the list of integers that can be evenly divided into 6. There are overall 4 factors of 6 i.e. 1, 2, 3 and 6 where 6 is the biggest factor. The sum of all factors of 6 is 12. Its Prime Factors are 1, 2, 3, 6 and (1, 6) and (2, 3) are Pair Factors.
- 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
| 1. | What Are the Factors of 6? |
| 2. | Important Notes |
| 3. | How to Calculate the Factors of 6? |
| 4. | Factors of 6 by Prime Factorization |
| 5. | Factors of 6 in Pairs |
What Are the Factors of 6?
Factors of 6 are those numbers that divide it completely and give the remainder as 0.
For example, 6 ÷ 1
We get 6 as the quotient and 0 as the remainder. This means that 6 is divisible by 1.
Similarly, 6 ÷ 2 = 3, 6 ÷ 3 = 2, 6 ÷ 6 = 1
Thus, the possible factors of 6 are 1, 2, 3, and 6.
Important Notes
- Factors of 6 are 1, 2, 3, and 6.
- 1 is a universal factor. It is a factor of all numbers.
- The number itself is a factor of the number as it divides itself exactly.
- 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?
In prime factorization, we express 6 as the product of its prime factors and in the division method, we see what numbers divide 6 exactly without leaving a remainder.
6 is a composite number and it should have prime factors. Here, we will first use the division method to find the factors of 6.
The first step is to divide the number 6 with the smallest prime factor, say 2, and so on.
The division shows that the number 6 is exactly divisible by 1, 2, 3, and 6.
Hence, the factors of 6 by division method are 1, 2, 3, and 6.
Thus, all numbers which leave a remainder 0 are the factors of 6. We see that 1, 2, 3, and 6 are the factors of 6.
Explore factors using illustrations and interactive examples:
- 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 prime factors of 6 can be represented by the factor tree method as:
The prime factors of 6 can be represented by the upside-down division method as:
The factors of 6 by the prime factorization method are 1, 2, 3, and 6.
Here, 2 and 3 are the prime factors of 6.
Factors of 6 in Pairs
To find the factors of 6 in pairs, multiply the two numbers in a pair to get the resultant number as 6.
If 1 × 6 = 6, then (1, 6) is a pair factor of 6.
Similarly, let us find other pairs.
2 × 3 = 6, 3 × 2 = 6, and 6 × 1 = 6.
Therefore, the pair factors are (2, 3), (3, 2), (6, 1), and (1, 6).
There are negative factor pairs of 6 as well. Those pairs also give 6 as the result when they are multiplied.
Thus, (-2, -3), (-3, -2), (-1, -6), and (-6, -1) are negative pair factors of 6.
FAQs on Factors of 6
What are the Factors of 6?
The factors of 6 are 1, 2, 3, 6 and its negative factors are -1, -2, -3, -6.
How Many Factors of 6 are also Factors of 3?
Since, the factors of 6 are 1, 2, 3, 6 and the factors of 3 are 1, 3.
Hence, [1, 3] are the common factors of 6 and 3.
What Numbers are the Prime Factors of 6?
The prime factors of 6 are 2, 3.
What is the Sum of the Factors of 6?
All the Factors of 6 are 1, 2, 3, 6 and therefore the sum of all these factors is 1 + 2 + 3 + 6 = 12
What is the Greatest Common Factor of 6 and 3?
The factors of 6 and 3 are 1, 2, 3, 6 and 1, 3 respectively.
Common factors of 6 and 3 are [1, 3].
Hence, the Greatest Common Factor (GCF) of 6 and 3 is 3.