124 LearnersLast updated on May 26th, 2025
Factors of 7325
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.
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
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
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.
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.
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.
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).
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
Forgetting the number itself and 1 is a factor
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.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 7325 consist of -1, -5, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 7325/1.5 = 4883.333... and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 7325 are prime numbers.
For example, 5, 11, and 29 are the prime factors of 7325, but it has other factors like 25, 55.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, Not breaking 7325 as 5 × 11 × 29 and missing all the key factors.
Factors of 7325 Examples
Problem 1
There are 5 teams and 7325 points in total. How will they distribute the points equally?
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
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.
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.
Problem 3
There are 25 classrooms and 7325 students. How many students will be in each classroom?
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
Problem 4
In a choir, there are 7325 singers, and 29 sections. How many singers are there in each section?
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
Problem 5
7325 books need to be distributed across 275 shelves. How many books will go on each shelf?
Each of the shelves has 26 books.
Explanation
Divide total books with shelves.
7325/275 = 26
FAQs on Factors of 7325
1.What are the factors of 7325?
2.Mention the prime factors of 7325.
3.Is 7325 a multiple of 11?
4.Mention the factor pairs of 7325?
5.What is the square of 7325?
6.How can children in United States use numbers in everyday life to understand Factors of 7325?
7.What are some fun ways kids in United States can practice Factors of 7325 with numbers?
8.What role do numbers and Factors of 7325 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 7325 skills?
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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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.
Fun Fact
: She loves to read number jokes and games.
