101 LearnersLast updated on May 26th, 2025
Factors of 486
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 486, how they are used in real life, and tips to learn them quickly.
What are the Factors of 486?
The numbers that divide 486 evenly are known as factors of 486.
A factor of 486 is a number that divides the number without a remainder.
The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486.
Negative factors of 486: -1, -2, -3, -6, -9, -18, -27, -54, -81, -162, -243, and -486
Prime factors of 486: 2 and 3.
Prime factorization of 486: 2 × 35.
The sum of factors of 486: 1 + 2 + 3 + 6 + 9 + 18 + 27 + 54 + 81 + 162 + 243 + 486 = 1092
How to Find Factors of 486?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 486. Identifying the numbers which are multiplied to get the number 486 is the multiplication method.
Step 1: Multiply 486 by 1, 486 × 1 = 486.
Step 2: Check for other numbers that give 486 after multiplying:
2 × 243 = 486
3 × 162 = 486
6 × 81 = 486
9 × 54 = 486
18 × 27 = 486
Therefore, the positive factor pairs of 486 are: (1, 486), (2, 243), (3, 162), (6, 81), (9, 54), (18, 27).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 486 by 1, 486 ÷ 1 = 486.
Step 2: Continue dividing 486 by the numbers until the remainder becomes 0.
486 ÷ 1 = 486
486 ÷ 2 = 243
486 ÷ 3 = 162
486 ÷ 6 = 81
486 ÷ 9 = 54
486 ÷ 18 = 27
Therefore, the factors of 486 are: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 486 divide the number to break it down into the multiplication form of prime factors until the remainder becomes 1.
486 ÷ 2 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 486 are 2 and 3.
The prime factorization of 486 is: 2 × 35.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show the process:
Step 1: Firstly, 486 is divided by 2 to get 243.
Step 2: Now divide 243 by 3 to get 81.
Step 3: Then divide 81 by 3 to get 27.
Step 4: Divide 27 by 3 to get 9.
Step 5: Divide 9 by 3 to get 3.
Here, 3 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 486 is: 2 × 35.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 486: (1, 486), (2, 243), (3, 162), (6, 81), (9, 54), (18, 27).
Negative factor pairs of 486: (-1, -486), (-2, -243), (-3, -162), (-6, -81), (-9, -54), (-18, -27).
Common Mistakes and How to Avoid Them in Factors of 486
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 486, 1 and 486 are also factors.
Factors of 486 Examples
Problem 1
There are 9 bags and 486 apples. How will they distribute them equally?
They will get 54 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of bags.
486/9 = 54
Problem 2
A garden is rectangular, the length of the garden is 18 meters and the total area is 486 square meters. Find the width?
27 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
486 = 18 × width
To find the value of the width, we need to shift 18 to the left side.
486/18 = width
Width = 27.
Problem 3
There are 81 students and 486 pencils. How many pencils will each student get?
Each student will get 6 pencils.
Explanation
To find the pencils for each student, divide the total pencils by the number of students.
486/81 = 6
Problem 4
In a workshop, there are 486 chairs and 54 rows. How many chairs are there in each row?
There are 9 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
486/54 = 9
Problem 5
486 books need to be arranged in 27 shelves. How many books will go on each shelf?
Each shelf will have 18 books.
Explanation
Divide total books by shelves.
486/27 = 18
FAQs on Factors of 486
1.What are the factors of 486?
2.Mention the prime factors of 486.
3.Is 486 a multiple of 9?
4.Mention the factor pairs of 486?
5.What is the square of 486?
6.How can children in Qatar use numbers in everyday life to understand Factors of 486?
7.What are some fun ways kids in Qatar can practice Factors of 486 with numbers?
8.What role do numbers and Factors of 486 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 486 skills?
Important Glossaries for Factor of 486
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 486.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 486 are (1, 486), (2, 243), etc.
- Prime factorization: Breaking down a number into prime numbers that multiply to form the original number. For example, the prime factorization of 486 is 2 × 35.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -2, etc., are negative factors of 486.
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About BrightChamps in Qatar
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.
