115 LearnersLast updated on May 26th, 2025
Factors of 2837
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 2837, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2837?
The numbers that divide 2837 evenly are known as factors of 2837.
A factor of 2837 is a number that divides the number without a remainder.
The factors of 2837 are 1, 7, 11, 41, 77, 287, 451, and 2837.
Negative factors of 2837: -1, -7, -11, -41, -77, -287, -451, and -2837.
Prime factors of 2837: 7, 11, and 41.
Prime factorization of 2837: 7 × 11 × 41.
The sum of factors of 2837: 1 + 7 + 11 + 41 + 77 + 287 + 451 + 2837 = 3712
How to Find Factors of 2837?
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 2837. Identifying the numbers which are multiplied to get the number 2837 is the multiplication method.
Step 1: Multiply 2837 by 1, 2837 × 1 = 2837.
Step 2: Check for other numbers that give 2837 after multiplying 7 × 11 × 41 = 2837
Therefore, the positive factor pairs of 2837 are: (1, 2837), (7, 11, 41). All these factor pairs result in 2837. 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 the simple division method -
Step 1: Divide 2837 by 1, 2837 ÷ 1 = 2837.
Step 2: Continue dividing 2837 by the numbers until the remainder becomes 0.
2837 ÷ 1 = 2837
2837 ÷ 7 = 405
2837 ÷ 11 = 257
2837 ÷ 41 = 69
Therefore, the factors of 2837 are: 1, 7, 11, 41, 77, 287, 451, 2837.
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 2837 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2837 ÷ 7 = 405
405 ÷ 11 = 37
37 ÷ 37 = 1
The prime factors of 2837 are 7, 11, and 37.
The prime factorization of 2837 is: 7 × 11 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2837 is divided by 7 to get 405.
Step 2: Now divide 405 by 11 to get 37.
Step 3: Divide 37 by 37 to get 1. Here, 37 is a prime number, that cannot be divided anymore. So, the prime factorization of 2837 is: 7 × 11 × 37.
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 2837: (1, 2837), (7, 405), (11, 257), (41, 69).
Negative factor pairs of 2837: (-1, -2837), (-7, -405), (-11, -257), (-41, -69).
Common Mistakes and How to Avoid Them in Factors of 2837
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 2837, 1 and 2837 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 2837 consist of -1, -7, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 2837/1.5 = 1891.333, and it 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 2837 are prime numbers.
For example, 7, 11, and 37 are the prime factors of 2837, but it has other factors like 41, 405.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 2837 as 7 × 11 × 37 and missing all the key factors.
Factors of 2837 Examples
Problem 1
There are 7 teams and 2837 people. How will they distribute them equally?
They will have 405 people in each team.
Explanation
To divide the people equally, we need to divide the total people with the number of teams.
2837/7 = 405
Problem 2
A garden is rectangular, the width of the garden is 11 meters, and the total area is 2837 square meters. Find the length?
257 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
2837 = 11 × length
To find the value of length, we need to shift 11 to the left side.
2837/11 = length
Length = 257.
Problem 3
There are 11 baskets and 2837 apples. How many apples will be in each basket?
Each basket will have 257 apples.
Explanation
To find the apples in each basket, divide the total apples with the baskets.
2837/11 = 257
Problem 4
In a school, there are 2837 students and 41 classes. How many students are there in each class?
There are 69 students in each class.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
2837/41 = 69
Problem 5
2837 books need to be arranged in 41 shelves. How many books will go on each shelf?
Each of the shelves has 69 books.
Explanation
Divide total books with shelves.
2837/41 = 69
FAQs on Factors of 2837
1.What are the factors of 2837?
2.Mention the prime factors of 2837.
3.Is 2837 a multiple of 11?
4.Mention the factor pairs of 2837?
5.What is the square of 2837?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 2837?
7.What are some fun ways kids in Indonesia can practice Factors of 2837 with numbers?
8.What role do numbers and Factors of 2837 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 2837 skills?
Important Glossaries for Factors of 2837
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2837 are 1, 7, 11, 41, 77, 287, 451, and 2837.
- Prime factors: The factors which are prime numbers. For example, 7, 11, and 37 are prime factors of 2837.
- 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 2837 are (1, 2837), (7, 405), etc.
- Prime factorization: Breaking down a number into its prime factors. Example: 2837 = 7 × 11 × 37.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the number.
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About BrightChamps in Indonesia
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.
