102 LearnersLast updated on May 26th, 2025
Factors of 764
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 764, how they are used in real life, and tips to learn them quickly.
What are the Factors of 764?
The numbers that divide 764 evenly are known as factors of 764.
A factor of 764 is a number that divides the number without remainder.
The factors of 764 are 1, 2, 4, 191, 382, and 764.
Negative factors of 764: -1, -2, -4, -191, -382, and -764.
Prime factors of 764: 2 and 191.
Prime factorization of 764: 2² × 191.
The sum of factors of 764: 1 + 2 + 4 + 191 + 382 + 764 = 1344.
How to Find Factors of 764?
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 764. Identifying the numbers which are multiplied to get the number 764 is the multiplication method.
Step 1: Multiply 764 by 1, 764 × 1 = 764.
Step 2: Check for other numbers that give 764 after multiplying
2 × 382 = 764
4 × 191 = 764
Therefore, the positive factor pairs of 764 are: (1, 764), (2, 382), and (4, 191).
All these factor pairs result in 764.
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 764 by 1, 764 ÷ 1 = 764.
Step 2: Continue dividing 764 by the numbers until the remainder becomes 0.
764 ÷ 1 = 764
764 ÷ 2 = 382
764 ÷ 4 = 191
Therefore, the factors of 764 are: 1, 2, 4, 191, 382, and 764.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 764 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
764 ÷ 2 = 382
382 ÷ 2 = 191
191 is a prime number and cannot be divided further.
The prime factors of 764 are 2 and 191.
The prime factorization of 764 is: 2² × 191.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 764 is divided by 2 to get 382.
Step 2: Now divide 382 by 2 to get 191.
Here, 191 is a prime number, that cannot be divided anymore.
So, the prime factorization of 764 is: 2² × 191.
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 764: (1, 764), (2, 382), and (4, 191).
Negative factor pairs of 764: (-1, -764), (-2, -382), and (-4, -191).
Common Mistakes and How to Avoid Them in Factors of 764
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 764, 1 and 764 are also factors.
Factors of 764 Examples
Problem 1
There are 764 students in a school and 2 buses. How will they divide the students equally?
Each bus will carry 382 students.
Explanation
To divide the students equally, we need to divide the total number of students by the number of buses.
764/2 = 382
Problem 2
A rectangular area has a length of 4 meters and a total area of 764 square meters. Find the width?
191 meters.
Explanation
To find the width of the area, we use the formula,
Area = length × width
764 = 4 × width
To find the value of the width, we need to shift 4 to the left side.
764/4 = width
Width = 191.
Problem 3
There are 4 crates containing 764 apples. How many apples are in each crate?
Each crate will have 191 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
764/4 = 191
Problem 4
764 pages need to be divided into 2 volumes. How many pages will go in each volume?
Each volume will have 382 pages.
Explanation
Dividing the total pages by the number of volumes, we will get the number of pages in each volume.
764/2 = 382
Problem 5
764 students are divided into groups of 4. How many groups will be formed?
191 groups will be formed.
Explanation
Divide the total number of students by the group size.
764/4 = 191
FAQs on Factors of 764
1.What are the factors of 764?
2.Mention the prime factors of 764.
3.Is 764 a multiple of 4?
4.Mention the factor pairs of 764?
5.What is the square of 764?
Important Glossaries for Factors of 764
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 764 are 1, 2, 4, 191, 382, and 764.
- Prime factors: The factors which are prime numbers. For example, 2 and 191 are prime factors of 764.
- 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 764 are (1, 764), (2, 382), etc.
- Prime factorization: The process of breaking down a number into the product of its prime factors. For example, the prime factorization of 764 is 2² × 191.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, using this method to find factors of 764 gives pairs like (2, 382).
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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.
