100 LearnersLast updated on May 26th, 2025
Factors of 2475
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 2475, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2475?
The numbers that divide 2475 evenly are known as factors of 2475.
A factor of 2475 is a number that divides the number without remainder.
The factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, and 2475.
Negative factors of 2475: -1, -3, -5, -9, -11, -15, -25, -33, -45, -55, -75, -99, -165, -225, -275, -495, -825, and -2475.
Prime factors of 2475: 3, 5, and 11.
Prime factorization of 2475: 3 × 5^2 × 11.
The sum of factors of 2475: 1 + 3 + 5 + 9 + 11 + 15 + 25 + 33 + 45 + 55 + 75 + 99 + 165 + 225 + 275 + 495 + 825 + 2475 = 3891
How to Find Factors of 2475?
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 2475. Identifying the numbers which are multiplied to get the number 2475 is the multiplication method.
Step 1: Multiply 2475 by 1, 2475 × 1 = 2475.
Step 2: Check for other numbers that give 2475 after multiplying
3 × 825 = 2475
5 × 495 = 2475
9 × 275 = 2475
11 × 225 = 2475
15 × 165 = 2475
25 × 99 = 2475
33 × 75 = 2475
45 × 55 = 2475
Therefore, the positive factor pairs of 2475 are: (1, 2475), (3, 825), (5, 495), (9, 275), (11, 225), (15, 165), (25, 99), (33, 75), and (45, 55).
For every positive factor, there is a negative factor.
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 2475 by 1, 2475 ÷ 1 = 2475.
Step 2: Continue dividing 2475 by the numbers until the remainder becomes 0.
2475 ÷ 1 = 2475
2475 ÷ 3 = 825
2475 ÷ 5 = 495
2475 ÷ 9 = 275
2475 ÷ 11 = 225
2475 ÷ 15 = 165
2475 ÷ 25 = 99
2475 ÷ 33 = 75
2475 ÷ 45 = 55
Therefore, the factors of 2475 are: 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, and 2475.
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 2475 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2475 ÷ 3 = 825
825 ÷ 3 = 275
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 2475 are 3, 5, and 11.
The prime factorization of 2475 is: 3 × 5^2 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2475 is divided by 3 to get 825.
Step 2: Now divide 825 by 3 to get 275.
Step 3: Then divide 275 by 5 to get 55.
Step 4: Divide 55 by 5 to get 11.
Here, 11 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2475 is: 3 × 5^2 × 11.
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 2475: (1, 2475), (3, 825), (5, 495), (9, 275), (11, 225), (15, 165), (25, 99), (33, 75), and (45, 55).
Negative factor pairs of 2475: (-1, -2475), (-3, -825), (-5, -495), (-9, -275), (-11, -225), (-15, -165), (-25, -99), (-33, -75), and (-45, -55).
Common Mistakes and How to Avoid Them in Factors of 2475
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 2475, 1 and 2475 is also a factor.
Factors of 2475 Examples
Problem 1
There are 11 friends and 2475 candies. How will they divide it equally?
They will get 225 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
2475/11 = 225
Problem 2
A field is rectangular, the length of the field is 45 meters and the total area is 2475 square meters. Find the width?
55 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
2475 = 45 × width
To find the value of width, we need to shift 45 to the left side.
2475/45 = width
Width = 55.
Problem 3
There are 33 bags and 2475 marbles. How many marbles will be in each bag?
Each bag will have 75 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags.
2475/33 = 75
Problem 4
In a class, there are 275 students, and 11 groups. How many students are there in each group?
There are 25 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
275/11 = 25
Problem 5
2475 books need to be arranged in 15 shelves. How many books will go on each shelf?
Each of the shelves has 165 books.
Explanation
Divide total books by shelves.
2475/15 = 165
FAQs on Factors of 2475
1.What are the factors of 2475?
2.Mention the prime factors of 2475.
3.Is 2475 a multiple of 5?
4.Mention the factor pairs of 2475?
5.What is the square of 2475?
6.How can children in India use numbers in everyday life to understand Factors of 2475?
7.What are some fun ways kids in India can practice Factors of 2475 with numbers?
8.What role do numbers and Factors of 2475 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 2475 skills?
Important Glossaries for Factors of 2475
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, and 2475.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 11 are prime factors of 475.
- 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 2475 are (1, 2475), (3, 825), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Prime factorization: The process of breaking down a number into its prime factors. For example, 2475 = 3 × 5^2 × 11.
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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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