140 LearnersLast updated on May 28th, 2025
Factors of 1323
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 1323, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1323?
The numbers that divide 1323 evenly are known as factors of 1323.
A factor of 1323 is a number that divides the number without remainder.
The factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, and 1323.
Negative factors of 1323: -1, -3, -7, -9, -21, -27, -49, -63, -147, -189, -441, and -1323.
Prime factors of 1323: 3, 7.
Prime factorization of 1323: 3³ × 7².
The sum of factors of 1323: 1 + 3 + 7 + 9 + 21 + 27 + 49 + 63 + 147 + 189 + 441 + 1323 = 2280
How to Find Factors of 1323?
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 1323. Identifying the numbers which are multiplied to get the number 1323 is the multiplication method.
Step 1: Multiply 1323 by 1, 1323 × 1 = 1323.
Step 2: Check for other numbers that give 1323 after multiplying:
3 × 441 = 1323
7 × 189 = 1323
9 × 147 = 1323
21 × 63 = 1323
27 × 49 = 1323
Therefore, the positive factor pairs of 1323 are: (1, 1323), (3, 441), (7, 189), (9, 147), (21, 63), and (27, 49).
All these factor pairs result in 1323.
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 1323 by 1, 1323 ÷ 1 = 1323.
Step 2: Continue dividing 1323 by the numbers until the remainder becomes 0.
1323 ÷ 1 = 1323
1323 ÷ 3 = 441
1323 ÷ 7 = 189
1323 ÷ 9 = 147
1323 ÷ 21 = 63
1323 ÷ 27 = 49
Therefore, the factors of 1323 are: 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.
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 1323 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
1323 ÷ 3 = 441
441 ÷ 3 = 147
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 1323 are 3 and 7.
The prime factorization of 1323 is: 3³ × 7².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1323 is divided by 3 to get 441.
Step 2: Now divide 441 by 3 to get 147.
Step 3: Then divide 147 by 3 to get 49.
Step 4: Divide 49 by 7 to get 7.
Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1323 is: 3³ × 7².
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 1323: (1, 1323), (3, 441), (7, 189), (9, 147), (21, 63), (27, 49).
Negative factor pairs of 1323: (-1, -1323), (-3, -441), (-7, -189), (-9, -147), (-21, -63), (-27, -49).
Common Mistakes and How to Avoid Them in Factors of 1323
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 1323, 1 and 1323 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1323 include -1, -3, -7, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1323/1.5 = 882, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1323 are prime numbers.
For example, 3 and 7 are the prime factors of 1323, but it has other factors like 9, 21.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1323 as 3³ × 7² and missing all the key factors.
Factors of 1323 Examples
Problem 1
There are 7 teams and 1323 candies. How will they divide them equally?
They will get 189 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
1323 ÷ 7 = 189
Problem 2
A garden is rectangular, the length of the garden is 21 meters and the total area is 1323 square meters. Find the width?
63 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1323 = 21 × width
To find the value of width, we need to shift 21 to the left side.
1323 ÷ 21 = width
Width = 63.
Problem 3
There are 9 baskets and 1323 apples. How many apples will be in each basket?
Each basket will have 147 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1323 ÷ 9 = 147
Problem 4
In a class, there are 1323 students, and 3 groups. How many students are there in each group?
There are 441 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1323 ÷ 3 = 441
Problem 5
1323 books need to be arranged in 27 shelves. How many books will go on each shelf?
Each of the shelves has 49 books.
Explanation
Divide total books by shelves.
1323 ÷ 27 = 49
FAQs on Factors of 1323
1.What are the factors of 1323?
2.Mention the prime factors of 1323.
3.Is 1323 a multiple of 9?
4.Mention the factor pairs of 1323?
5.What is the square of 1323?
6.How can children in Canada use numbers in everyday life to understand Factors of 1323?
7.What are some fun ways kids in Canada can practice Factors of 1323 with numbers?
8.What role do numbers and Factors of 1323 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1323 skills?
Important Glossaries for Factor of 1323
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1323 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, and 1323.
- Prime factors: The factors which are prime numbers. For example, 3 and 7 are prime factors of 1323.
- 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 1323 are (1, 1323), (3, 441), etc.
- Prime factorization: Breaking down a number into the product of prime numbers. For example, 1323 = 3³ × 7².
- Multiples: These are numbers that can be divided by another number without leaving a remainder. For example, 1323 is a multiple of 3 and 7.
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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.
