Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 7 teams and 2837 people. How will they distribute them equally?
They will have 405 people in each team.
To divide the people equally, we need to divide the total people with the number of teams.
2837/7 = 405
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.
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.
There are 11 baskets and 2837 apples. How many apples will be in each basket?
Each basket will have 257 apples.
To find the apples in each basket, divide the total apples with the baskets.
2837/11 = 257
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.
Dividing the students with the total classes, we will get the number of students in each class.
2837/41 = 69
2837 books need to be arranged in 41 shelves. How many books will go on each shelf?
Each of the shelves has 69 books.
Divide total books with shelves.
2837/41 = 69
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.
: She loves to read number jokes and games.