101 LearnersLast updated on May 26th, 2025
Factors of 323
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 323, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 323?
The numbers that divide 323 evenly are known as factors of 323.
A factor of 323 is a number that divides the number without remainder.
The factors of 323 are 1, 17, 19, and 323.
Negative factors of 323: -1, -17, -19, and -323.
Prime factors of 323: 17 and 19.
Prime factorization of 323: 17 × 19.
The sum of factors of 323: 1 + 17 + 19 + 323 = 360
How to Find Factors of 323?
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 323. Identifying the numbers which are multiplied to get the number 323 is the multiplication method.
Step 1: Multiply 323 by 1, 323 × 1 = 323.
Step 2: Check for other numbers that give 323 after multiplying 17 × 19 = 323
Therefore, the positive factor pairs of 323 are: (1, 323) and (17, 19).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 323 by 1, 323 ÷ 1 = 323.
Step 2: Continue dividing 323 by the numbers until the remainder becomes 0.
323 ÷ 1 = 323
323 ÷ 17 = 19
323 ÷ 19 = 17
Therefore, the factors of 323 are: 1, 17, 19, 323.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 323 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
323 ÷ 17 = 19
19 ÷ 19 = 1
The prime factors of 323 are 17 and 19.
The prime factorization of 323 is: 17 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 323 is divided by 17 to get 19.
Step 2: Since 19 is a prime number, the process stops here. So, the prime factorization of 323 is: 17 × 19.
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 323: (1, 323), (17, 19).
Negative factor pairs of 323: (-1, -323), (-17, -19).
Common Mistakes and How to Avoid Them in Factors of 323
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 323, 1 and 323 are also factors.
Factors of 323 Examples
Problem 1
There are 19 friends and 323 candies. How will they divide it equally?
They will get 17 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
323/19 = 17
Problem 2
A field is rectangular, the length of the field is 17 meters and the total area is 323 square meters. Find the width?
19 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
323 = 17 × width To find the value of width, we need to shift 17 to the left side.
323/17 = width
Width = 19.
Problem 3
There are 17 bags and 323 marbles. How many marbles will be in each bag?
Each bag will have 19 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
323/17 = 19
Problem 4
In a class, there are 323 students, and 19 groups. How many students are there in each group?
There are 17 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
323/19 = 17
Problem 5
323 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Explanation
Divide total books by shelves.
323/17 = 19
FAQs on Factors of 323
1.What are the factors of 323?
2.Mention the prime factors of 323.
3.Is 323 a multiple of 19?
4.Mention the factor pairs of 323?
5.What is the square of 323?
6.How can children in Canada use numbers in everyday life to understand Factors of 323?
7.What are some fun ways kids in Canada can practice Factors of 323 with numbers?
8.What role do numbers and Factors of 323 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 323 skills?
Important Glossaries for Factor of 323
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 323 are 1, 17, 19, and 323.
- Prime factors: The factors which are prime numbers. For example, 17 and 19 are prime factors of 323.
- 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 323 are (1, 323) and (17, 19).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 323 is 17 × 19.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the target number. For example, 17 × 19 = 323.
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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.
