100 LearnersLast updated on May 26th, 2025
Factors of 326
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 326, how they are used in real life, and tips to learn them quickly.
What are the Factors of 326?
The numbers that divide 326 evenly are known as factors of 326.
A factor of 326 is a number that divides the number without remainder.
The factors of 326 are 1, 2, 163, and 326.
Negative factors of 326: -1, -2, -163, and -326.
Prime factors of 326: 2 and 163.
Prime factorization of 326: 2 × 163.
The sum of factors of 326: 1 + 2 + 163 + 326 = 492
How to Find Factors of 326?
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 326. Identifying the numbers which are multiplied to get the number 326 is the multiplication method.
Step 1: Multiply 326 by 1, 326 × 1 = 326.
Step 2: Check for other numbers that give 326 after multiplying 2 × 163 = 326
Therefore, the positive factor pairs of 326 are: (1, 326), (2, 163).
All these factor pairs result in 326.
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 326 by 1, 326 ÷ 1 = 326.
Step 2: Continue dividing 326 by the numbers until the remainder becomes 0.
326 ÷ 1 = 326
326 ÷ 2 = 163
Therefore, the factors of 326 are: 1, 2, 163, 326.
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 factor tree
Using Prime Factorization: In this process, prime factors of 326 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
326 ÷ 2 = 163
163 ÷ 163 = 1
The prime factors of 326 are 2 and 163.
The prime factorization of 326 is: 2 × 163.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Firstly, 326 is divided by 2 to get 163.
Step 2: 163 is a prime number and cannot be divided further. So, the prime factorization of 326 is: 2 × 163.
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 326: (1, 326), (2, 163).
Negative factor pairs of 326: (-1, -326), (-2, -163).
Common Mistakes and How to Avoid Them in Factors of 326
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 326, 1 and 326 are also factors.
Factors of 326 Examples
Problem 1
There are 326 apples and 2 baskets. How will they divide it equally?
They will get 163 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
326/2 = 163
Problem 2
A garden is rectangular, the length of the garden is 2 meters and the total area is 326 square meters. Find the width?
163 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
326 = 2 × width
To find the value of width, we need to shift 2 to the left side.
326/2 = width
Width = 163.
Problem 3
There are 163 chairs and 326 tables. How many chairs will be with each table?
Each table will have 2 chairs.
Explanation
To find the chairs with each table, divide the total chairs with the tables.
326/163 = 2
Problem 4
In a school, there are 326 students, and 2 classes. How many students are there in each class?
There are 163 students in each class.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
326/2 = 163
Problem 5
326 books need to be arranged in 163 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books with shelves.
326/163 = 2
FAQs on Factors of 326
1.What are the factors of 326?
2.Mention the prime factors of 326.
3.Is 326 a multiple of 2?
4.Mention the factor pairs of 326?
5.What is the square of 326?
6.How can children in Canada use numbers in everyday life to understand Factors of 326?
7.What are some fun ways kids in Canada can practice Factors of 326 with numbers?
8.What role do numbers and Factors of 326 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 326 skills?
Important Glossaries for Factors of 326
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 326 are 1, 2, 163, and 326.
- Prime factors: The factors which are prime numbers. For example, 2 and 163 are prime factors of 326.
- 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 326 are (1, 326) and (2, 163).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 326 is 2 × 163.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 326 is a multiple of 2.
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About BrightChamps in Canada
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.
