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206 LearnersLast updated on December 10th, 2024
Factors of 6
Factors of any number are the whole numbers that can divide the number completely. Why are factors important to learn? For mathematical approaches, factors are used in organizing and bringing more efficiency to any task. In this article, let's learn how to solve factors of 6 easily.
What are the Factors of 6?
Factors of 6 are those numbers that can divide 6 perfectly. The factors of 6 are:
1,2,3, and 6.
Negative factors of 6: -1, -2, -3 -6
Prime factors of 6: 2,3
Prime factorization of 6: 3×2
The sum of factors of 6: 1+2+3+6=12
How to Find the Factors of 6
For finding factors of 6, we will be learning these below-mentioned methods:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors using Multiplication Methods
This particular method often finds the pair of factors which, on multiplication together, produces 6. Let us find the pairs which, on multiplication, yields 6.
1×6=6
2×3=6
From this, we conclude that, factors of 6 are:1,2,3, and 6.
Finding Factors using Division Method
The division method finds the numbers that evenly divides the given number 6. To find the factors of 6, we have to divide 6 by all possible natural numbers less than 6 and check.
1,2,3,6 are the only factors that the number 6 has. So to verify the factors of 6 using the division method, we just need to divide 6 by each factor.
6/1 =6
6/2 =3
6/3=2
6/6=1
Prime Factors and Prime Factorization
Prime Factorization is the easiest process to find prime factors. It decomposes 6 into a product of its prime integers.
Prime Factors of 6: 2,3.
Prime Factorization of 6: 3×2
Factor tree
The number 6 is written on top and two branches are extended.
Fill in those branches with a factor pair of the number above, i.e., 6.
Continue this process until each branch ends with a prime factor (number).
The first two branches of the factor tree of 6 are 2 and 3.
Factor Pairs
Positive pair factors: (1,6), (2,3)
Negative pair factors: (-1,-6), (-2,-3)
Common Mistakes and How to Avoid Them in Factors of 6
Factors of 6 Examples
Problem 1
A man has 6 shirts and 18 ties. He wants to divide them equally among some poor people. What is the maximum number of people he can distribute?
Explanation
Problem 2
Two airplanes leave the airport at the same time. One leaves every 6 hours and the other every 12 hours. When will they leave together again?
Explanation
Problem 3
Find the GCF of 6 and 4
Explanation
Problem 4
Find the smallest number that is divisible by 2,6,18 and 27.
Explanation
Problem 5
Find the LCM of 6 and 5
Explanation
FAQs on Factors of 6
1.Is 6 a factor of 18?
2.What is the factor of negative 6?
3.Is 12 a factor of 6?
4.Is 24 a multiple of 6?
5. Is 6 a factor of 100?
Important Glossaries for Factors of 6
- Ratio - Ratio of two numbers compares between them, how many times one number contains the other number. It is expressed as m:n, where m and n are two positive numbers whose ratio is to be shown.
- Factors - These are numbers that divide the given number without leaving any remainder or the remainder as 0.
- Prime Factorization - It involves factoring the number into its prime factors.
- Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.
- Composite numbers - These are numbers having more than two factors.
- Multiple - It is a product of the given number and any other integer.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
