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Last updated on May 26th, 2025

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Factors of 260

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

Factors of 260 for Qatari Students
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What are the Factors of 260?

The numbers that divide 260 evenly are known as factors of 260. A factor of 260 is a number that divides the number without remainder.

 

The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260.

 

Negative factors of 260: -1, -2, -4, -5, -10, -13, -20, -26, -52, -65, -130, and -260.

 

Prime factors of 260: 2, 5, and 13.

 

Prime factorization of 260: 2 × 2 × 5 × 13.

 

The sum of factors of 260: 1 + 2 + 4 + 5 + 10 + 13 + 20 + 26 + 52 + 65 + 130 + 260 = 588

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How to Find Factors of 260?

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 260. Identifying the numbers which are multiplied to get the number 260 is the multiplication method.

 

Step 1: Multiply 260 by 1, 260 × 1 = 260.

 

Step 2: Check for other numbers that give 260 after multiplying

 

2 × 130 = 260

4 × 65 = 260

5 × 52 = 260

10 × 26 = 260

13 × 20 = 260

 

Therefore, the positive factor pairs of 260 are: (1, 260), (2, 130), (4, 65), (5, 52), (10, 26), and (13, 20). 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 260 by 1, 260 ÷ 1 = 260.

 

Step 2: Continue dividing 260 by the numbers until the remainder becomes 0.

 

260 ÷ 1 = 260

260 ÷ 2 = 130

260 ÷ 4 = 65

260 ÷ 5 = 52

260 ÷ 10 = 26

260 ÷ 13 = 20

 

Therefore, the factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260.

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

 

260 ÷ 2 = 130

130 ÷ 2 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

 

The prime factors of 260 are 2, 5, and 13.

 

The prime factorization of 260 is: 2 × 2 × 5 × 13.

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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, 260 is divided by 2 to get 130.

 

Step 2: Now divide 130 by 2 to get 65.

 

Step 3: Then divide 65 by 5 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore.

 

So, the prime factorization of 260 is: 2 × 2 × 5 × 13.

 

Factor Pair: 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 260: (1, 260), (2, 130), (4, 65), (5, 52), (10, 26), and (13, 20).

 

Negative factor pairs of 260: (-1, -260), (-2, -130), (-4, -65), (-5, -52), (-10, -26), and (-13, -20).

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Common Mistakes and How to Avoid Them in Factors of 260

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 260, 1 and 260 are also factors.

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Factors of 260 Examples

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Problem 1

A farmer has 260 apples to pack into bags. If each bag holds 13 apples, how many bags will he need?

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He will need 20 bags.

Explanation

To find the number of bags needed, divide the total apples by the number of apples per bag.

 

260/13 = 20

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Problem 2

A garden is rectangular, the length of the garden is 10 meters and the total area is 260 square meters. Find the width?

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The width is 26 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width

 

260 = 10 × width

 

To find the value of width, we need to shift 10 to the left side.

 

260/10 = width

 

Width = 26

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Problem 3

There are 52 people and 260 cupcakes. How many cupcakes will each person get?

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Each person will get 5 cupcakes.

Explanation

To find the cupcakes each person gets, divide the total cupcakes by the number of people.

 

260/52 = 5

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Problem 4

A school has 130 students and wants to form teams of 10 students each. How many full teams can be formed?

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13 full teams can be formed.

Explanation

Dividing the students by the team size will give the number of full teams.

 

130/10 = 13

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Problem 5

There are 260 chairs to be arranged in rows of 4. How many rows will be there?

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There will be 65 rows.

Explanation

Divide the total number of chairs by the number of chairs per row.

 

260/4 = 65

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FAQs on Factors of 260

1.What are the factors of 260?

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2.Mention the prime factors of 260.

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3.Is 260 a multiple of 5?

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4.Mention the factor pairs of 260?

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5.What is the cube of 260?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 260?

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7.What are some fun ways kids in Qatar can practice Factors of 260 with numbers?

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8.What role do numbers and Factors of 260 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 260 skills?

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Important Glossaries for Factor of 260

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260.

     
  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 13 are prime factors of 260.

     
  • 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 260 are (1, 260), (2, 130), etc.

     
  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 260 is 2 × 2 × 5 × 13.

     
  • Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 260 is a multiple of 5.
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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 260 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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