100 LearnersLast updated on May 26th, 2025
Factors of 757
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 757, how they are used in real life, and tips to learn them quickly.
What are the Factors of 757?
The numbers that divide 757 evenly are known as factors of 757.
A factor of 757 is a number that divides the number without remainder.
The factors of 757 are 1 and 757.
Negative factors of 757: -1 and -757.
Prime factors of 757: 757.
Prime factorization of 757: 757 is a prime number.
The sum of factors of 757: 1 + 757 = 758
How to Find Factors of 757?
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 757. Since 757 is a prime number, it can only be expressed as a product of 1 and 757.
Step 1: Multiply 757 by 1, 757 × 1 = 757.
Therefore, the positive factor pair of 757 is: (1, 757).
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 757 by 1, 757 ÷ 1 = 757.
Step 2: Since 757 is only divisible by 1 and itself without leaving a remainder, it has no other factors.
Therefore, the factors of 757 are: 1 and 757.
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: Since 757 is a prime number, it cannot be broken down further.
It is only divisible by 1 and 757.
The prime factor of 757 is 757 itself.
The prime factorization of 757 is: 757.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 757 is a prime number, it cannot be broken down further.
Its factor tree consists of just one branch showing 757 as the product of itself and 1.
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 pair of 757: (1, 757).
Negative factor pair of 757: (-1, -757).
Common Mistakes and How to Avoid Them in Factors of 757
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 757, 1 and 757 is also a factor.
Factors of 757 Examples
Problem 1
There are 757 apples and 1 basket. How will they distribute it?
All 757 apples will go into the basket.
Explanation
To distribute the apples, we need only one basket since the factor pair includes 1 and 757.
757/1 = 757
Problem 2
A park is square-shaped and has an area of 757 square meters. What is the length of each side?
The length does not form a whole number because 757 is a prime number.
Explanation
To find the length of each side, we use the formula,
Area = side × side
Since 757 is a prime number, it cannot form a perfect square.
Problem 3
There are 757 chairs and 1 hall. How many chairs will be placed in the hall?
All 757 chairs will be placed in the hall.
Explanation
To place the chairs, we use the factor pair.
757/1 = 757
Problem 4
A school has 757 students and 1 classroom. How many students are in the classroom?
All 757 students are in the classroom.
Explanation
Distributing the students with the classroom, we use the factor pair.
757/1 = 757
Problem 5
757 books need to be stored in 1 library. How many books will be stored?
All 757 books will be stored in the library.
Explanation
Using the factor pair, all books go into the library.
757/1 = 757
FAQs on Factors of 757
1.What are the factors of 757?
2.Mention the prime factors of 757.
3.Is 757 a multiple of any number other than itself and 1?
4.Mention the factor pairs of 757?
5.What is the square of 757?
Important Glossaries for Factor of 757
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 757 are 1 and 757.
- Prime factor: A factor which is a prime number. For example, 757 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 757 is (1, 757).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself.
- Multiplication method: A method used to find factor pairs by identifying pairs of numbers that multiply to give the target number.
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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.
