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Last updated on May 28th, 2025

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Factors of 1323

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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.

Factors of 1323 for Qatari Students
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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

factors of 1323

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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
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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.

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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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 1323 Examples

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Problem 1

There are 7 teams and 1323 candies. How will they divide them equally?

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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

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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?

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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.

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Problem 3

There are 9 baskets and 1323 apples. How many apples will be in each basket?

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Each basket will have 147 apples.

Explanation

To find the apples in each basket, divide the total apples by the baskets.

 

1323 ÷ 9 = 147

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Problem 4

In a class, there are 1323 students, and 3 groups. How many students are there in each group?

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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

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Problem 5

1323 books need to be arranged in 27 shelves. How many books will go on each shelf?

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Each of the shelves has 49 books.

Explanation

Divide total books by shelves.

 

1323 ÷ 27 = 49

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FAQs on Factors of 1323

1.What are the factors of 1323?

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2.Mention the prime factors of 1323.

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3.Is 1323 a multiple of 9?

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4.Mention the factor pairs of 1323?

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5.What is the square of 1323?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 1323?

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7.What are some fun ways kids in Qatar can practice Factors of 1323 with numbers?

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8.What role do numbers and Factors of 1323 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve Factors of 1323 skills?

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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 Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 1323 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math journey!
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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.

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: She loves to read number jokes and games.

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