101 LearnersLast updated on May 26th, 2025
Factors of 1086
Factors are the numbers that divide any given number evenly without 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 1086, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1086?
The numbers that divide 1086 evenly are known as factors of 1086.
A factor of 1086 is a number that divides the number without remainder.
The factors of 1086 are 1, 2, 3, 6, 181, 362, 543, and 1086.
Negative factors of 1086: -1, -2, -3, -6, -181, -362, -543, and -1086.
Prime factors of 1086: 2, 3, and 181.
Prime factorization of 1086: 2 × 3 × 181.
The sum of factors of 1086: 1 + 2 + 3 + 6 + 181 + 362 + 543 + 1086 = 2184
How to Find Factors of 1086?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1086. Identifying the numbers which are multiplied to get the number 1086 is the multiplication method.
Step 1: Multiply 1086 by 1, 1086 × 1 = 1086.
Step 2: Check for other numbers that give 1086 after multiplying
2 × 543 = 1086
3 × 362 = 1086
6 × 181 = 1086
Therefore, the positive factor pairs of 1086 are: (1, 1086), (2, 543), (3, 362), (6, 181).
All these factor pairs result in 1086.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 1086 by 1, 1086 ÷ 1 = 1086.
Step 2: Continue dividing 1086 by the numbers until the remainder becomes 0.
1086 ÷ 1 = 1086
1086 ÷ 2 = 543
1086 ÷ 3 = 362
1086 ÷ 6 = 181
Therefore, the factors of 1086 are: 1, 2, 3, 6, 181, 362, 543, 1086.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1086 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1086 ÷ 2 = 543
543 ÷ 3 = 181
181 ÷ 181 = 1
The prime factors of 1086 are 2, 3, and 181.
The prime factorization of 1086 is: 2 × 3 × 181.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1086 is divided by 2 to get 54.
Step 2: Now divide 543 by 3 to get 181.
Step 3: Divide 181 by 181 to get 1.
Here, 181 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1086 is: 2 × 3 × 181.
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 1086: (1, 1086), (2, 543), (3, 362), and (6, 181).
Negative factor pairs of 1086: (-1, -1086), (-2, -543), (-3, -362), and (-6, -181).
Common Mistakes and How to Avoid Them in Factors of 1086
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 1086, 1 and 1086 is also a factor.
Factors of 1086 Examples
Problem 1
There are 3 teams and 1086 candies. How will they divide it equally?
They will get 362 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of teams.
1086/3 = 362
Problem 2
A rectangular garden has a length of 6 meters and a total area of 1086 square meters. Find the width?
181 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1086 = 6 × width
To find the value of width, we need to shift 6 to the left side.
1086/6 = width
Width = 181.
Problem 3
There are 2 trays and 1086 cupcakes. How many cupcakes will be in each tray?
Each tray will have 543 cupcakes.
Explanation
To find the cupcakes in each tray, divide the total cupcakes with the trays.
1086/2 = 543
Problem 4
In a seminar, there are 1086 participants and 6 breakout sessions. How many participants are there in each session?
There are 181 participants in each session.
Explanation
Dividing the participants with the total sessions, we will get the number of participants in each session.
1086/6 = 181
Problem 5
1086 books need to be distributed in 3 schools. How many books will go to each school?
Each school will get 362 books.
Explanation
Divide total books with schools.
1086/3 = 362
FAQs on Factors of 1086
1.What are the factors of 1086?
2.Mention the prime factors of 1086.
3.Is 1086 a multiple of 3?
4.Mention the factor pairs of 1086?
5.What is the square of 1086?
6.How can children in Australia use numbers in everyday life to understand Factors of 1086?
7.What are some fun ways kids in Australia can practice Factors of 1086 with numbers?
8.What role do numbers and Factors of 1086 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1086 skills?
Important Glossaries for Factors of 1086
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1086 are 1, 2, 3, 6, 181, 362, 543, and 1086.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 181 are prime factors of 1086.
- 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 1086 are (1, 1086), (2, 543), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A method to find factors by dividing the number with whole numbers until the remainder is zero.
Explore More numbers
Previous to Factors of 1086
About BrightChamps in Australia
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.
