110 LearnersLast updated on May 26th, 2025
Factors of 2763
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 2763, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2763?
The numbers that divide 2763 evenly are known as factors of 2763.
A factor of 2763 is a number that divides the number without remainder.
The factors of 2763 are 1, 3, 7, 21, 131, 393, 917, and 2763.
Negative factors of 2763: -1, -3, -7, -21, -131, -393, -917, and -2763.
Prime factors of 2763: 3, 7, and 131.
Prime factorization of 2763: 3 × 7 × 131.
The sum of factors of 2763: 1 + 3 + 7 + 21 + 131 + 393 + 917 + 2763 = 4236
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How to Find Factors of 2763?
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 2763. Identifying the numbers which are multiplied to get the number 2763 is the multiplication method.
Step 1: Multiply 2763 by 1, 2763 × 1 = 2763.
Step 2: Check for other numbers that give 2763 after multiplying
3 × 921 = 2763
7 × 393 = 2763
21 × 131 = 2763
Therefore, the positive factor pairs of 2763 are: (1, 2763), (3, 921), (7, 393), (21, 131). All these factor pairs result in 2763. 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 whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 2763 by 1, 2763 ÷ 1 = 2763.
Step 2: Continue dividing 2763 by the numbers until the remainder becomes 0.
2763 ÷ 1 = 2763
2763 ÷ 3 = 921
2763 ÷ 7 = 393
2763 ÷ 21 = 131
Therefore, the factors of 2763 are: 1, 3, 7, 21, 131, 393, 917, 2763.
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 2763 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2763 ÷ 3 = 921
921 ÷ 3 = 307
307 ÷ 7 = 43
43 ÷ 43 = 1
The prime factors of 2763 are 3, 7, and 131.
The prime factorization of 2763 is: 3 × 7 × 131.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2763 is divided by 3 to get 921.
Step 2: Divide 921 by 3 to get 307.
Step 3: Then divide 307 by 7 to get 43. Here, 43 is a prime number that cannot be divided anymore. So, the prime factorization of 2763 is: 3 × 7 × 131.
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 2763: (1, 2763), (3, 921), (7, 393), (21, 131).
Negative factor pairs of 2763: (-1, -2763), (-3, -921), (-7, -393), (-21, -131).
Common Mistakes and How to Avoid Them in Factors of 2763
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 2763, 1 and 2763 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 2763 consist of -1, -3, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 2763/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 2763 are prime numbers.
For example, 3, 7, and 131 are the prime factors of 2763, but it has other factors like 21, 393.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 2763 as 3 × 7 × 131 and missing all the key factors.
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Factors of 2763 Examples
Problem 1
A group of 7 friends wants to share 2763 marbles equally. How many marbles will each friend get?
Each friend will get 393 marbles.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
2763 ÷ 7 = 393
Problem 2
A rectangular field has a length of 21 meters and a total area of 2763 square meters. Find the width.
131 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
2763 = 21 × width
To find the value of width, we need to shift 21 to the left side.
2763 ÷ 21 = width
Width = 131.
Problem 3
There are 131 boxes and 2763 apples. How many apples will be in each box?
Each box will have 21 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
2763 ÷ 131 = 21
Problem 4
In a class, there are 2763 students, and they are divided into 3 groups. How many students are there in each group?
There are 921 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
2763 ÷ 3 = 921
Problem 5
2763 books need to be arranged in 393 shelves. How many books will go on each shelf?
Each of the shelves has 7 books.
Explanation
Divide total books by shelves.
2763 ÷ 393 = 7
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FAQs on Factors of 2763
1.What are the factors of 2763?
2.Mention the prime factors of 2763.
3.Is 2763 a multiple of 7?
4.Mention the factor pairs of 2763?
5.What is the square of 2763?
6.How can children in Thailand use numbers in everyday life to understand Factors of 2763?
7.What are some fun ways kids in Thailand can practice Factors of 2763 with numbers?
8.What role do numbers and Factors of 2763 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 2763 skills?
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Important Glossaries for Factors of 2763
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2763 are 1, 3, 7, 21, 131, 393, 917, and 2763.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 131 are prime factors of 2763.
- 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 2763 are (1, 2763), (3, 921), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For 2763, it is 3 × 7 × 131.
- Divisibility: A number is divisible by another if the division results in a whole number without a remainder. For instance, 2763 is divisible by 3, 7, 21, etc.
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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
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