102 LearnersLast updated on May 26th, 2025
Factors of 753
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 753, how they are used in real life, and tips to learn them quickly.
What are the Factors of 753?
The numbers that divide 753 evenly are known as factors of 753.
A factor of 753 is a number that divides the number without remainder.
The factors of 753 are 1, 3, 251, and 753.
Negative factors of 753: -1, -3, -251, and -753.
Prime factors of 753: 3 and 251.
Prime factorization of 753: 3 × 251.
The sum of factors of 753: 1 + 3 + 251 + 753 = 1008
How to Find Factors of 753?
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 753. Identifying the numbers which are multiplied to get the number 753 is the multiplication method.
Step 1: Multiply 753 by 1, 753 × 1 = 753.
Step 2: Check for other numbers that give 753 after multiplying
3 × 251 = 753
Therefore, the positive factor pairs of 753 are: (1, 753), and (3, 251).
All these factor pairs result in 753.
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 a whole number as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 753 by 1, 753 ÷ 1 = 753.
Step 2: Continue dividing 753 by the numbers until the remainder becomes 0.
753 ÷ 1 = 753
753 ÷ 3 = 251
Therefore, the factors of 753 are: 1, 3, 251, and 753.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 753 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1
. 753 ÷ 3 = 251
Since 251 is a prime number, the process stops here.
The prime factors of 753 are 3 and 251.
The prime factorization of 753 is: 3 × 251.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 753 is divided by 3 to get 251.
Here, 251 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 753 is: 3 × 251.
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 753: (1, 753) and (3, 251).
Negative factor pairs of 753: (-1, -753) and (-3, -251).
Common Mistakes and How to Avoid Them in Factors of 753
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 753, 1 and 753 are also factors.
Factors of 753 Examples
Problem 1
There are 3 cars and 753 people. How will they arrange them equally in each car?
They will place 251 people in each car.
Explanation
To arrange the people equally, we need to divide the total number of people with the number of cars.
753/3 = 251
Problem 2
A garden is rectangular, the length of the garden is 3 meters and the total area is 753 square meters. Find the width?
251 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
753 = 3 × width
To find the value of width, we need to divide 753 by 3.
753/3 = width
Width = 251.
Problem 3
There are 251 boxes and 753 items. How many items will be in each box?
Each box will have 3 items.
Explanation
To find the number of items in each box, divide the total items by the number of boxes.
753/251 = 3
Problem 4
In a class, there are 753 students, and 1 group. How many students are there in each group?
There are 753 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
753/1 = 753
Problem 5
753 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 251 books.
Explanation
Divide total books by shelves.
753/3 = 251
FAQs on Factors of 753
1.What are the factors of 753?
2.Mention the prime factors of 753.
3.Is 753 a multiple of 3?
4.Mention the factor pairs of 753?
5.What is the square of 753?
6.How can children in India use numbers in everyday life to understand Factors of 753?
7.What are some fun ways kids in India can practice Factors of 753 with numbers?
8.What role do numbers and Factors of 753 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 753 skills?
Important Glossaries for Factors of 753
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 753 are 1, 3, 251, and 753.
- Prime factors: The factors which are prime numbers. For example, 3 and 251 are prime factors of 753.
- 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 753 are (1, 753) and (3, 251).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 753 is 3 × 251.
- Multiples: Numbers that can be obtained by multiplying the given number by an integer. For example, 753 is a multiple of 3.
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About BrightChamps in India
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.
