100 LearnersLast updated on May 26th, 2025
Factors of 1098
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 1098, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1098?
The numbers that divide 1098 evenly are known as factors of 1098.
A factor of 1098 is a number that divides the number without a remainder.
The factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, and 1098.
Negative factors of 1098: -1, -2, -3, -6, -9, -18, -61, -122, -183, -366, -549, and -1098.
Prime factors of 1098: 2, 3, and 61.
Prime factorization of 1098: 2 × 3^2 × 61.
The sum of factors of 1098: 1 + 2 + 3 + 6 + 9 + 18 + 61 + 122 + 183 + 366 + 549 + 1098 = 2418
How to Find Factors of 1098?
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 pairs of numbers that are multiplied to give 1098. Identifying the numbers which are multiplied to get the number 1098 is the multiplication method.
Step 1: Multiply 1098 by 1, 1098 × 1 = 1098.
Step 2: Check for other numbers that give 1098 after multiplying:
2 × 549 = 1098
3 × 366 = 1098
6 × 183 = 1098
9 × 122 = 1098 1
8 × 61 = 1098
Therefore, the positive factor pairs of 1098 are: (1, 1098), (2, 549), (3, 366), (6, 183), (9, 122), (18, 61).
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1098 by 1, 1098 ÷ 1 = 1098.
Step 2: Continue dividing 1098 by the numbers until the remainder becomes 0.
1098 ÷ 1 = 1098
1098 ÷ 2 = 549
1098 ÷ 3 = 366
1098 ÷ 6 = 183
1098 ÷ 9 = 122
1098 ÷ 18 = 61
Therefore, the factors of 1098 are: 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1098 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1098 ÷ 2 = 549
549 ÷ 3 = 183
183 ÷ 3 = 61
61 ÷ 61 = 1
The prime factors of 1098 are 2, 3, and 61.
The prime factorization of 1098 is: 2 × 3^2 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1098 is divided by 2 to get 549.
Step 2: Now divide 549 by 3 to get 183.
Step 3: Then divide 183 by 3 to get 61.
Step 4: Here, 61 is a prime number, so it cannot be divided anymore.
So, the prime factorization of 1098 is: 2 × 3^2 × 61.
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 1098: (1, 1098), (2, 549), (3, 366), (6, 183), (9, 122), and (18, 61).
Negative factor pairs of 1098: (-1, -1098), (-2, -549), (-3, -366), (-6, -183), (-9, -122), and (-18, -61).
Common Mistakes and How to Avoid Them in Factors of 1098
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 1098, 1 and 1098 are also factors.
Factors of 1098 Examples
Problem 1
There are 3 teams and 1098 participants. How will they divide the participants equally?
They will get 366 participants each.
Explanation
To divide the participants equally, divide the total participants by the number of teams.
1098/3 = 366
Problem 2
A garden is rectangular, the length of the garden is 9 meters and the total area is 1098 square meters. Find the width?
122 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1098 = 9 × width
To find the value of width, divide 1098 by 9.
1098/9 = width
Width = 122.
Problem 3
There are 6 crates and 1098 oranges. How many oranges will be in each crate?
Each crate will have 183 oranges.
Explanation
To find the oranges in each crate, divide the total oranges by the number of crates.
1098/6 = 183
Problem 4
In a conference, there are 1098 attendees, and 18 tables. How many attendees are there at each table?
There are 61 attendees at each table.
Explanation
Dividing the attendees by the total tables, we get the number of attendees at each table.
1098/18 = 61
Problem 5
1098 books need to be arranged in 9 shelves. How many books will go on each shelf?
Each shelf has 122 books.
Explanation
Divide the total books by the shelves.
1098/9 = 122
FAQs on Factors of 1098
1.What are the factors of 1098?
2.Mention the prime factors of 1098.
3.Is 1098 a multiple of 9?
4.Mention the factor pairs of 1098?
5.What is the square of 1098?
6.How can children in Australia use numbers in everyday life to understand Factors of 1098?
7.What are some fun ways kids in Australia can practice Factors of 1098 with numbers?
8.What role do numbers and Factors of 1098 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1098 skills?
Important Glossaries for Factors of 1098
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1098 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, and 1098.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 61 are prime factors of 1098.
- 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 1098 are (1, 1098), (2, 549), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1098 is 2 × 3^2 × 61.
- Multiple: A number that can be divided by another number without a remainder. For example, 1098 is a multiple of 9.
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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.
