101 LearnersLast updated on May 26th, 2025
Factors of 762
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 762, how they are used in real life, and tips to learn them quickly.
What are the Factors of 762?
The numbers that divide 762 evenly are known as factors of 762.
A factor of 762 is a number that divides the number without remainder.
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, and 762.
Negative factors of 762: -1, -2, -3, -6, -127, -254, -381, and -762.
Prime factors of 762: 2, 3, and 127.
Prime factorization of 762: 2 × 3 × 127.
The sum of factors of 762: 1 + 2 + 3 + 6 + 127 + 254 + 381 + 762 = 1536
How to Find Factors of 762?
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 762. Identifying the numbers which are multiplied to get the number 762 is the multiplication method.
Step 1: Multiply 762 by 1, 762 × 1 = 762.
Step 2: Check for other numbers that give 762 after multiplying:
2 × 381 = 762
3 × 254 = 762
6 × 127 = 762
Therefore, the positive factor pairs of 762 are: (1, 762), (2, 381), (3, 254), and (6, 127).
All these factor pairs result in 762.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 762 by 1, 762 ÷ 1 = 762.
Step 2: Continue dividing 762 by the numbers until the remainder becomes 0.
762 ÷ 1 = 762
762 ÷ 2 = 381
762 ÷ 3 = 254
762 ÷ 6 = 127
Therefore, the factors of 762 are: 1, 2, 3, 6, 127, 254, 381, and 762.
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 762 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
762 ÷ 2 = 381
381 ÷ 3 = 127
127 ÷ 127 = 1
The prime factors of 762 are 2, 3, and 127.
The prime factorization of 762 is: 2 × 3 × 127.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 762 is divided by 2 to get 381.
Step 2: Now divide 381 by 3 to get 127.
Here, 127 is a prime number that cannot be divided anymore.
So, the prime factorization of 762 is: 2 × 3 × 127.
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 762: (1, 762), (2, 381), (3, 254), and (6, 127).
Negative factor pairs of 762: (-1, -762), (-2, -381), (-3, -254), and (-6, -127).
Common Mistakes and How to Avoid Them in Factors of 762
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 762, 1 and 762 are also factors.
Factors of 762 Examples
Problem 1
There are 6 teams and 762 points. How will they distribute the points equally?
Each team will get 127 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
762/6 = 127
Problem 2
A rectangular garden has an area of 762 square meters and a length of 3 meters. Find the width?
254 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
762 = 3 × width
To find the value of width, we need to shift 3 to the left side.
762/3 = width
Width = 254.
Problem 3
There are 127 boxes and 762 candies. How many candies will be in each box?
Each box will have 6 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
762/127 = 6
Problem 4
In a competition, there are 762 participants and 2 categories. How many participants are there in each category?
There are 381 participants in each category.
Explanation
Dividing the participants by the total categories, we will get the number of participants in each category.
762/2 = 381
Problem 5
762 trees need to be planted in 254 rows. How many trees will be in each row?
Each row will have 3 trees.
Explanation
Divide total trees by the number of rows.
762/254 = 3
FAQs on Factors of 762
1.What are the factors of 762?
2.Mention the prime factors of 762.
3.Is 762 a multiple of 3?
4.Mention the factor pairs of 762?
5.What is the square of 762?
6.How can children in India use numbers in everyday life to understand Factors of 762?
7.What are some fun ways kids in India can practice Factors of 762 with numbers?
8.What role do numbers and Factors of 762 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 762 skills?
Important Glossaries for Factors of 762
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 762 are 1, 2, 3, 6, 127, 254, 381, and 762.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 127 are prime factors of 762.
- 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 762 are (1, 762), (2, 381), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 762 is 2 × 3 × 127.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 762 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.
