Factors Of 6 | With Easy Division and Prime Factorization
Contents
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, and 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 6 by division method are 1, 2, 3, and 6.
Use illustrations and interactive examples to explore factors:
1, 2, 13, and 26.
Factors of 7
Factors 7 are 1 and 7.
Factors of 8
Factors 8 are 1, 2, 4, and 8.
1 and 29.
1, 2, 3, 4, 6, 8, 12, and 24.
Factors of 6 by Prime Factorization Method
The factor tree method can be used to determine the prime factors of 6 as follows:
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.