100 LearnersLast updated on May 26th, 2025
Factors of 2925
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 2925, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2925?
The numbers that divide 2925 evenly are known as factors of 2925.
A factor of 2925 is a number that divides the number without a remainder.
The factors of 2925 are 1, 3, 5, 15, 25, 39, 75, 195, 585, 975, and 2925.
Negative factors of 2925: -1, -3, -5, -15, -25, -39, -75, -195, -585, -975, and -2925.
Prime factors of 2925: 3, 5, and 13.
Prime factorization of 2925: 3 × 52 × 13.
The sum of factors of 2925: 1 + 3 + 5 + 15 + 25 + 39 + 75 + 195 + 585 + 975 + 2925 = 3848
How to Find Factors of 2925?
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 2925. Identifying the numbers which are multiplied to get the number 2925 is the multiplication method.
Step 1: Multiply 2925 by 1, 2925 × 1 = 2925.
Step 2: Check for other numbers that give 2925 after multiplying
3 × 975 = 2925
5 × 585 = 2925
15 × 195 = 2925
25 × 117 = 2925
39 × 75 = 2925
Therefore, the positive factor pairs of 2925 are: (1, 2925), (3, 975), (5, 585), (15, 195), (25, 117), (39, 75). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 2925 by 1, 2925 ÷ 1 = 2925.
Step 2: Continue dividing 2925 by numbers until the remainder becomes 0.
2925 ÷ 1 = 2925
2925 ÷ 3 = 975
2925 ÷ 5 = 585
2925 ÷ 15 = 195
2925 ÷ 25 = 117
2925 ÷ 39 = 75
Therefore, the factors of 2925 are: 1, 3, 5, 15, 25, 39, 75, 195, 585, 975, 2925.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 2925 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2925 ÷ 3 = 975
975 ÷ 5 = 195
195 ÷ 5 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
The prime factors of 2925 are 3, 5, and 13.
The prime factorization of 2925 is: 3 × 5^2 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2925 is divided by 3 to get 975.
Step 2: Now divide 975 by 5 to get 195.
Step 3: Then divide 195 by 5 to get 39.
Step 4: Divide 39 by 3 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 2925 is: 3 × 52 × 13.
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 2925: (1, 2925), (3, 975), (5, 585), (15, 195), (25, 117), (39, 75).
Negative factor pairs of 2925: (-1, -2925), (-3, -975), (-5, -585), (-15, -195), (-25, -117), (-39, -75).
Common Mistakes and How to Avoid Them in Factors of 2925
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 number. Always remember to include 1 and the number itself.
For example, in factors of 2925, 1 and 2925 are also factors.
Factors of 2925 Examples
Problem 1
There are 15 employees and 2925 files. How will they distribute the files equally?
They will get 195 files each.
Explanation
To distribute the files equally, we need to divide the total files by the number of employees.
2925/15 = 195
Problem 2
A rectangular garden has a length of 25 meters and a total area of 2925 square meters. Find the width?
117 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2925 = 25 × width
To find the value of width, we need to shift 25 to the left side.
2925/25 = width
Width = 117.
Problem 3
There are 39 baskets and 2925 apples. How many apples will be in each basket?
Each basket will have 75 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
2925/39 = 75
Problem 4
In a workshop, there are 2925 parts and 5 teams. How many parts are there in each team?
There are 585 parts in each team.
Explanation
Dividing the parts by the total teams, we will get the number of parts in each team.
2925/5 = 585
Problem 5
2925 books need to be arranged in 25 shelves. How many books will go on each shelf?
Each of the shelves has 117 books.
Explanation
Divide total books by shelves.
2925/25 = 117
FAQs on Factors of 2925
1.What are the factors of 2925?
2.Mention the prime factors of 2925.
3.Is 2925 a multiple of 3?
4.Mention the factor pairs of 2925?
5.What is the square of 2925?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2925?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2925 with numbers?
8.What role do numbers and Factors of 2925 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 2925 skills?
Important Glossaries for Factors of 2925
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2925 are 1, 3, 5, 15, 25, 39, 75, 195, 585, 975, 2925.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 13 are prime factors of 2925.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 2925 = 3 × 52 × 13.
- 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 2925 are (1, 2925), (3, 975), etc.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number, such as 2925.
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About BrightChamps in United Arab Emirates
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.
