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Last updated on May 26th, 2025

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Factors of 789

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

Factors of 789 for Qatari Students
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What are the Factors of 789?

The numbers that divide 789 evenly are known as factors of 789.

 

A factor of 789 is a number that divides the number without remainder.

 

The factors of 789 are 1, 3, 263, and 789.

 

Negative factors of 789: -1, -3, -263, and -789.

 

Prime factors of 789: 3 and 263.

 

Prime factorization of 789: 3 × 263.

 

The sum of factors of 789: 1 + 3 + 263 + 789 = 1056

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How to Find Factors of 789?

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
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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 789. Identifying the numbers which are multiplied to get the number 789 is the multiplication method.

 

Step 1: Multiply 789 by 1, 789 × 1 = 789.

 

Step 2: Check for other numbers that give 789 after multiplying

3 × 263 = 789

 

Therefore, the positive factor pairs of 789 are: (1, 789) and (3, 263). All these factor pairs result in 789.

 

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 789 by 1, 789 ÷ 1 = 789.

 

Step 2: Continue dividing 789 by the numbers until the remainder becomes 0.

789 ÷ 1 = 789

789 ÷ 3 = 263

 

Therefore, the factors of 789 are: 1, 3, 263, and 789.

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

789 ÷ 3 = 263

 

263 is a prime number, so it cannot be divided further.

 

The prime factors of 789 are 3 and 263.

 

The prime factorization of 789 is: 3 × 263.

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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, 789 is divided by 3 to get 263. 263 is a prime number, so it cannot be divided further. So, the prime factorization of 789 is: 3 × 263.

 

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 789: (1, 789) and (3, 263).

 

Negative factor pairs of 789: (-1, -789) and (-3, -263).

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Common Mistakes and How to Avoid Them in Factors of 789

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 789, 1 and 789 are also factors.

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Factors of 789 Examples

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Problem 1

There are 3 teams and 789 players. How will they divide the players equally?

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They will get 263 players each.

Explanation

To divide the players equally, we need to divide the total players by the number of teams.

789/3 = 263

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Problem 2

A field is rectangular, the length of the field is 263 meters and the total area is 789 square meters. Find the width?

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3 meters.

Explanation

To find the width of the field, we use the formula,     

Area = length × width     

789 = 263 × width

To find the value of width, we need to shift 263 to the left side.     

789/263 = width     

Width = 3.

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Problem 3

There are 789 books and 3 shelves. How many books will be in each shelf?

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Each shelf will have 263 books.

Explanation

To find the books in each shelf, divide the total books by the number of shelves.     

789/3 = 263

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Problem 4

In a class, there are 789 candies, and 263 students. How many candies are there for each student?

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There are 3 candies for each student.

Explanation

Dividing the candies by the total students, we will get the number of candies for each student.     

789/263 = 3

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Problem 5

789 pieces of art need to be displayed in 263 galleries. How many pieces will go in each gallery?

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Each of the galleries has 3 pieces.

Explanation

Divide total pieces by galleries.     

789/263 = 3

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FAQs on Factors of 789

1.What are the factors of 789?

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2.Mention the prime factors of 789.

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3.Is 789 a multiple of 3?

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4.Mention the factor pairs of 789?

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5.What is the square of 789?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 789?

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7.What are some fun ways kids in Qatar can practice Factors of 789 with numbers?

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8.What role do numbers and Factors of 789 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 789 skills?

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Important Glossaries for Factor of 789

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 789 are 1, 3, 263, and 789.

 

  • Prime factors: The factors which are prime numbers. For example, 3 and 263 are prime factors of 789.

 

  • 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 789 are (1, 789) and (3, 263).

 

  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, 789 can be expressed as 3 × 263.

 

  • Negative factors: Factors of a number that are negative. For example, the negative factors of 789 are -1, -3, -263, and -789.
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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 789 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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Fun Fact

: She loves to read number jokes and games.

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