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Last updated on April 21st, 2025

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Factors of 123456789

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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 123456789, how they are used in real life, and tips to learn them quickly.

Factors of 123456789 for US Students
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What are the Factors of 123456789?

The numbers that divide 123456789 evenly are known as factors of 123456789. A factor of 123456789 is a number that divides the number without remainder. The factors of 123456789 are 1, 3, 9, 3607, 10821, 32463, 13717421, and 123456789.

 

Negative factors of 123456789: -1, -3, -9, -3607, -10821, -32463, -13717421, and -123456789.

 

Prime factors of 123456789: 3, 3607, and 13717421.

 

Prime factorization of 123456789: 3² × 3607 × 13717421.

 

The sum of factors of 123456789: 1 + 3 + 9 + 3607 + 10821 + 32463 + 13717421 + 123456789 = 137174214.

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How to Find Factors of 123456789?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  1. Finding factors using multiplication
  2. Finding factors using division method
  3. 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 123456789. Identifying the numbers that are multiplied to get 123456789 is the multiplication method.

 

Step 1: Multiply 123456789 by 1, 123456789 × 1 = 123456789.

 

Step 2: Check for other numbers that give 123456789 after multiplying     

 

3 × 41152263 = 123456789    

 9 × 13717421 = 123456789

 

Therefore, the positive factor pairs of 123456789 are: (1, 123456789), (3, 41152263), (9, 13717421). All these factor pairs result in 123456789. For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with 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 123456789 by 1, 123456789 ÷ 1 = 123456789.

 

Step 2: Continue dividing 123456789 by the numbers until the remainder becomes 0.

 

123456789 ÷ 1 = 123456789

123456789 ÷ 3 = 41152263

123456789 ÷ 9 = 13717421

 

Therefore, the factors of 123456789 are: 1, 3, 9, 3607, 10821, 32463, 13717421, and 123456789.

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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 123456789 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

123456789 ÷ 3 = 41152263

41152263 ÷ 3 = 13717421

13717421 ÷ 13717421 = 1

 

The prime factors of 123456789 are 3, 3607, and 13717421. The prime factorization of 123456789 is: 3² × 3607 × 13717421.

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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, 123456789 is divided by 3 to get 41152263.

 

Step 2: Now divide 41152263 by 3 to get 13717421.

 

Step 3: 13717421 is a prime number, so it cannot be divided further. So, the prime factorization of 123456789 is: 3² × 3607 × 13717421.

 

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 123456789: (1, 123456789), (3, 41152263), and (9, 13717421).

 

  • Negative factor pairs of 123456789: (-1, -123456789), (-3, -41152263), and (-9, -13717421).
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Common Mistakes and How to Avoid Them in Factors of 123456789

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Factors of 123456789 Examples

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Problem 1

There are 9 people and 123456789 marbles. How will they divide it equally?

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Explanation

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Problem 2

A rectangular garden has a length of 3 meters, and the total area is 123456789 square meters. Find the width?

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Explanation

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Problem 3

A company has 13717421 laptops and 123456789 software licenses. How many software licenses will each laptop have?

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Explanation

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Problem 4

In a school, there are 41152263 students and 123456789 books. How many books are there for each student?

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Explanation

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Problem 5

123456789 pencils need to be packed into boxes of 3607 pencils each. How many boxes are needed?

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Explanation

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FAQs on Factors of 123456789

1.What are the factors of 123456789?

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2.Mention the prime factors of 123456789.

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3.Is 123456789 a multiple of 9?

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4.Mention the factor pairs of 123456789?

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5.What is the square of 123456789?

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6.How can children in United States use numbers in everyday life to understand Factors of 123456789?

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7.What are some fun ways kids in United States can practice Factors of 123456789 with numbers?

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8.What role do numbers and Factors of 123456789 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors of 123456789 skills?

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Important Glossaries for Factors of 123456789

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 123456789 are 1, 3, 9, 3607, 10821, 32463, 13717421, and 123456789.

 

  • Prime factors: The factors which are prime numbers. For example, 3, 3607, and 13717421 are prime factors of 123456789.

 

  • Prime factorization: The expression of a number as a product of its prime factors. For example, 3² × 3607 × 13717421 for 123456789.

 

  • 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 123456789 are (1, 123456789), (3, 41152263), etc.

 

  • Multiples: The result of multiplying a number by an integer. For example, 123456789 is a multiple of 9.
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 123456789, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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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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