100 LearnersLast updated on May 26th, 2025
Factors of 2231
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 2231, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2231?
The numbers that divide 2231 evenly are known as factors of 2231.
A factor of 2231 is a number that divides the number without remainder.
The factors of 2231 are 1, 7, 13, 19, 91, 133, 247, and 2231.
Negative factors of 2231: -1, -7, -13, -19, -91, -133, -247, and -2231.
Prime factors of 2231: 7, 13, and 19.
Prime factorization of 2231: 7 × 13 × 19.
The sum of factors of 2231: 1 + 7 + 13 + 19 + 91 + 133 + 247 + 2231 = 2742
How to Find Factors of 2231?
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 2231. Identifying the numbers that are multiplied to get the number 2231 is the multiplication method.
Step 1: Multiply 2231 by 1, 2231 × 1 = 2231.
Step 2: Check for other numbers that give 2231 after multiplying
7 × 319 = 2231
13 × 171 = 2231
19 × 117 = 2231
Therefore, the positive factor pairs of 2231 are: (1, 2231), (7, 319), (13, 171), (19, 117).
All these factor pairs result in 2231.
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 2231 by 1, 2231 ÷ 1 = 2231.
Step 2: Continue dividing 2231 by the numbers until the remainder becomes 0.
2231 ÷ 1 = 2231
2231 ÷ 7 = 319
2231 ÷ 13 = 171
2231 ÷ 19 = 117
Therefore, the factors of 2231 are: 1, 7, 13, 19, 91, 133, 247, 2231.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 2231 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2231 ÷ 7 = 319
319 ÷ 13 = 24.
538 (not an integer, hence skip) 319 ÷ 19 = 17 17 ÷ 17 = 1
The prime factors of 2231 are 7, 13, and 19. The prime factorization of 2231 is: 7 × 13 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2231 is divided by 7 to get 319.
Step 2: Now divide 319 by 19 to get 17.
Step 3: Divide 17 by 17 to get 1. Here, 17 is a prime number and cannot be divided further.
So, the prime factorization of 2231 is: 7 × 13 × 19.
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 2231: (1, 2231), (7, 319), (13, 171), and (19, 117).
Negative factor pairs of 2231: (-1, -2231), (-7, -319), (-13, -171), and (-19, -117).
Common Mistakes and How to Avoid Them in Factors of 2231
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 2231, 1 and 2231 are also factors.
Factors of 2231 Examples
Problem 1
There are 7 teams, and 2231 candies. How will they divide it equally?
They will get 319 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
2231/7 = 319
Problem 2
A field is rectangular, the length of the field is 13 meters, and the total area is 2231 square meters. Find the width.
171 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
2231 = 13 × width
To find the value of width, we need to shift 13 to the left side.
2231/13 = width
Width = 171.
Problem 3
There are 19 trucks and 2231 boxes. How many boxes will be in each truck?
Each truck will have 117 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the number of trucks.
2231/19 = 117
Problem 4
In a class, there are 2231 students, and 13 groups. How many students are there in each group?
There are 171 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
2231/13 = 171
Problem 5
2231 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 117 books.
Explanation
Divide total books by shelves.
2231/19 = 117
FAQs on Factors of 2231
1.What are the factors of 2231?
2.Mention the prime factors of 2231.
3.Is 2231 a multiple of 13?
4.Mention the factor pairs of 2231?
5.What is the square of 2231?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 2231?
7.What are some fun ways kids in Vietnam can practice Factors of 2231 with numbers?
8.What role do numbers and Factors of 2231 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 2231 skills?
Important Glossaries for Factors of 2231
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2231 are 1, 7, 13, 19, 91, 133, 247, and 2231.
- Prime factors: The factors which are prime numbers. For example, 7, 13, and 19 are prime factors of 2231.
- 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 2231 are (1, 2231), (7, 319), etc.
- Multiplication method: Finding factors by identifying pairs of numbers that multiply to the given number.
- Division method: Finding factors by dividing the number by whole numbers until the remainder is zero.
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About BrightChamps in Vietnam
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.
