101 LearnersLast updated on May 26th, 2025
Factors of 758
Factors are the numbers that divide any given number evenly without a 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 758, how they are used in real life, and tips to learn them quickly.
What are the Factors of 758?
The numbers that divide 758 evenly are known as factors of 758.
A factor of 758 is a number that divides the number without remainder.
The factors of 758 are 1, 2, 379, and 758.
Negative factors of 758: -1, -2, -379, and -758.
Prime factors of 758: 2 and 379.
Prime factorization of 758: 2 × 379.
The sum of factors of 758: 1 + 2 + 379 + 758 = 1140
How to Find Factors of 758?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 758. Identifying the numbers which are multiplied to get the number 758 is the multiplication method.
Step 1: Multiply 758 by 1, 758 × 1 = 758.
Step 2: Check for other numbers that give 758 after multiplying
2 × 379 = 758
Therefore, the positive factor pairs of 758 are: (1, 758) and (2, 379).
All these factor pairs result in 758.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Divide the given numbers with whole numbers until the remainder becomes zero and list out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 758 by 1, 758 ÷ 1 = 758.
Step 2: Continue dividing 758 by the numbers until the remainder becomes 0.
758 ÷ 1 = 758
758 ÷ 2 = 379
Therefore, the factors of 758 are: 1, 2, 379, 758.
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 758 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
758 ÷ 2 = 379
379 ÷ 379 = 1
The prime factors of 758 are 2 and 379.
The prime factorization of 758 is: 2 × 379.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 758 is divided by 2 to get 379.
Step 2: Now divide 379 by 379 to get 1.
Here, 379 is a prime number and cannot be divided further.
So, the prime factorization of 758 is: 2 × 379.
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 758: (1, 758) and (2, 379).
Negative factor pairs of 758: (-1, -758) and (-2, -379).
Common Mistakes and How to Avoid Them in Factors of 758
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 758, 1 and 758 are also factors.
Factors of 758 Examples
Problem 1
A company has 758 units of a product to distribute equally among 2 branches. How many units will each branch receive?
Each branch will receive 379 units.
Explanation
To distribute the units equally, we need to divide the total units by the number of branches.
758/2 = 379
Problem 2
A rectangular garden has a length of 2 meters, and its total area is 758 square meters. What is the width?
379 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
758 = 2 × width
To find the value of width, we need to shift 2 to the left side.
758/2 = width
Width = 379.
Problem 3
There are 379 gift boxes, and each box contains 2 gifts. How many gifts are there in total?
There are 758 gifts in total.
Explanation
To find the total number of gifts, multiply the number of boxes by the number of gifts in each box.
379 × 2 = 758
Problem 4
In a classroom, there are 758 chairs and 2 rows. How many chairs are in each row?
There are 379 chairs in each row.
Explanation
Dividing the total chairs by the number of rows, we will get the number of chairs in each row.
758/2 = 379
Problem 5
758 pages need to be printed, and each printer can print 379 pages at a time. How many rounds of printing are needed?
Two rounds of printing are needed.
Explanation
Divide the total pages by the pages each printer can print.
758/379 = 2
FAQs on Factors of 758
1.What are the factors of 758?
2.Mention the prime factors of 758.
3.Is 758 a multiple of 2?
4.Mention the factor pairs of 758?
5.What is the square of 758?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 758?
7.What are some fun ways kids in United Kingdom can practice Factors of 758 with numbers?
8.What role do numbers and Factors of 758 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 758 skills?
Important Glossaries for Factors of 758
- Factors: The numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 758 are 1, 2, 379, and 758.
- Prime factors: The factors which are prime numbers. For example, 2 and 379 are prime factors of 758.
- 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 758 are (1, 758) and (2, 379).
- Prime factorization: The expression of a number as the product of its prime factors. For 758, it is 2 × 379.
- Sum of factors: The sum of all factors of a number. For 758, it is 1140.
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About BrightChamps in United Kingdom
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.
