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Last updated on May 26th, 2025

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Factors of 7325

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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 7325, how they are used in real life, and tips to learn them quickly.

Factors of 7325 for US Students
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What are the Factors of 7325?

The numbers that divide 7325 evenly are known as factors of 7325.

 

A factor of 7325 is a number that divides the number without remainder.

 

The factors of 7325 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1465, and 7325.

 

Negative factors of 7325: -1, -5, -11, -25, -29, -55, -145, -275, -319, -725, -1465, and -7325.

 

Prime factors of 7325: 5, 11, and 29.

 

Prime factorization of 7325: 5 × 11 × 29.

 

The sum of factors of 7325: 1 + 5 + 11 + 25 + 29 + 55 + 145 + 275 + 319 + 725 + 1465 + 7325 = 9380

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How to Find Factors of 7325?

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 7325. Identifying the numbers which are multiplied to get the number 7325 is the multiplication method.

 

Step 1: Multiply 7325 by 1, 7325 × 1 = 7325.

 

Step 2: Check for other numbers that give 7325 after multiplying

 

5 × 1465 = 7325

11 × 665 = 7325

25 × 293 = 7325

29 × 253 = 7325

 

Therefore, the positive factor pairs of 7325 are: (1, 7325), (5, 1465), (11, 665), (25, 293), and (29, 253).

 

All these factor pair results in 7325.

 

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 7325 by 1, 7325 ÷ 1 = 7325.

 

Step 2: Continue dividing 7325 by the numbers until the remainder becomes 0.

 

7325 ÷ 1 = 7325

7325 ÷ 5 = 1465

7325 ÷ 11 = 665

7325 ÷ 25 = 293

7325 ÷ 29 = 253

 

Therefore, the factors of 7325 are: 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1465, and 7325.

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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 7325 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

7325 ÷ 5 = 1465

1465 ÷ 5 = 293

293 ÷ 11 = 29

29 ÷ 29 = 1

 

The prime factors of 7325 are 5, 11, and 29.

 

The prime factorization of 7325 is: 5 × 11 × 29.

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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, 7325 is divided by 5 to get 1465.

 

Step 2: Now divide 1465 by 5 to get 293. Step 3: Then divide 293 by 11 to get 29. Here, 29 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 7325 is: 5 × 11 × 29.

 

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 7325: (1, 7325), (5, 1465), (11, 665), (25, 293), and (29, 253).

 

Negative factor pairs of 7325: (-1, -7325), (-5, -1465), (-11, -665), (-25, -293), and (-29, -253).

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Common Mistakes and How to Avoid Them in Factors of 7325

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 word. Always remember to include 1 and the number itself.

 

For example, in factors of 7325, 1 and 7325 is also a factor.

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Factors of 7325 Examples

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Problem 1

There are 5 teams and 7325 points in total. How will they distribute the points equally?

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Each team will get 1465 points.

Explanation

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

 

7325/5 = 1465

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Problem 2

A garden plot is rectangular, with the length of the plot being 11 meters and the total area being 7325 square meters. Find the width.

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665 meters.

Explanation

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

 

Area = length × width

 

7325 = 11 × width

 

To find the value of width, we need to shift 11 to the left side.

 

7325/11 = width

 

Width = 665.

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Problem 3

There are 25 classrooms and 7325 students. How many students will be in each classroom?

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Each classroom will have 293 students.

Explanation

To find the students in each classroom, divide the total students by the number of classrooms.

 

7325/25 = 293

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Problem 4

In a choir, there are 7325 singers, and 29 sections. How many singers are there in each section?

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There are 253 singers in each section.

Explanation

Dividing the singers by the total sections, we will get the number of singers in each section.

 

7325/29 = 253

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Problem 5

7325 books need to be distributed across 275 shelves. How many books will go on each shelf?

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Each of the shelves has 26 books.

Explanation

Divide total books with shelves.

 

7325/275 = 26

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FAQs on Factors of 7325

1.What are the factors of 7325?

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2.Mention the prime factors of 7325.

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3.Is 7325 a multiple of 11?

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4.Mention the factor pairs of 7325?

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5.What is the square of 7325?

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6.How can children in United States use numbers in everyday life to understand Factors of 7325?

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7.What are some fun ways kids in United States can practice Factors of 7325 with numbers?

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8.What role do numbers and Factors of 7325 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 7325 skills?

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Important Glossaries for Factors of 7325

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 7325 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1465, and 7325.
     
  • Prime factors: The factors which are prime numbers. For example, 5, 11, and 29 are prime factors of 7325.
     
  • 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 7325 are (1, 7325), (5, 1465), etc.
     
  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 7325 is 5 × 11 × 29.
     
  • Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number. For example, using multiplication to find the factors of 7325.
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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 7325, 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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Fun Fact

: She loves to read number jokes and games.

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