100 LearnersLast updated on May 26th, 2025
Factors of 2431
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 2431, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2431?
The numbers that divide 2431 evenly are known as factors of 2431.
A factor of 2431 is a number that divides the number without remainder.
The factors of 2431 are 1, 11, 13, 19, 143, 209, 247, and 2431.
Negative factors of 2431: -1, -11, -13, -19, -143, -209, -247, and -2431.
Prime factors of 2431: 11, 13, and 19.
Prime factorization of 2431: 11 × 13 × 19.
The sum of factors of 2431: 1 + 11 + 13 + 19 + 143 + 209 + 247 + 2431 = 3074
How to Find Factors of 2431?
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 2431. Identifying the numbers which are multiplied to get the number 2431 is the multiplication method.
Step 1: Multiply 2431 by 1, 2431 × 1 = 2431.
Step 2: Check for other numbers that give 2431 after multiplying
11 × 221 = 2431
13 × 187 = 2431
19 × 127 = 2431
Therefore, the positive factor pairs of 2431 are: (1, 2431), (11, 221), (13, 187), (19, 127).
All these factor pairs result in 2431.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 2431 by 1, 2431 ÷ 1 = 2431.
Step 2: Continue dividing 2431 by the numbers until the remainder becomes 0.
2431 ÷ 1 = 2431
2431 ÷ 11 = 221
2431 ÷ 13 = 187
2431 ÷ 19 = 127
Therefore, the factors of 2431 are: 1, 11, 13, 19, 143, 209, 247, 2431.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 2431 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2431 ÷ 11 = 221
221 ÷ 13 = 17
17 ÷ 19 = 1
The prime factors of 2431 are 11, 13, and 19.
The prime factorization of 2431 is: 11 × 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, 2431 is divided by 11 to get 221.
Step 2: Now divide 221 by 13 to get 17.
Step 3: Finally, divide 17 by 19 to get 1.
Here, 19 is one of the smallest prime numbers that cannot be divided anymore.
So, the prime factorization of 2431 is: 11 × 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 2431: (1, 2431), (11, 221), (13, 187), (19, 127).
Negative factor pairs of 2431: (-1, -2431), (-11, -221), (-13, -187), (-19, -127).
Common Mistakes and How to Avoid Them in Factors of 2431
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 2431, 1 and 2431 is also a factor.
Factors of 2431 Examples
Problem 1
There are 11 teams and 2431 players. How will they divide it equally?
Each team will have 221 players.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
2431 ÷ 11 = 221
Problem 2
A plot of land is rectangular, the length of the plot is 13 meters and the total area is 2431 square meters. Find the width.
187 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
2431 = 13 × width
To find the value of width, we need to shift 13 to the left side.
2431 ÷ 13 = width
Width = 187.
Problem 3
There are 19 boxes and 2431 chocolates. How many chocolates will be in each box?
Each box will have 127 chocolates.
Explanation
To find the chocolates in each box, divide the total chocolates by the boxes.
2431 ÷ 19 = 127
Problem 4
In a school, there are 2431 students, and 11 buses. How many students are there in each bus?
There are 221 students in each bus.
Explanation
Dividing the students by the total buses, we will get the number of students in each bus.
2431 ÷ 11 = 221
Problem 5
2431 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 187 books.
Explanation
Divide total books by shelves.
2431 ÷ 13 = 187
FAQs on Factors of 2431
1.What are the factors of 2431?
2.Mention the prime factors of 2431.
3.Is 2431 a multiple of 19?
4.Mention the factor pairs of 2431?
5.What is the square of 2431?
6.How can children in Philippines use numbers in everyday life to understand Factors of 2431?
7.What are some fun ways kids in Philippines can practice Factors of 2431 with numbers?
8.What role do numbers and Factors of 2431 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 2431 skills?
Important Glossaries for Factor of 2431
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2431 are 1, 11, 13, 19, 143, 209, 247, and 2431.
- Prime factors: The factors which are prime numbers. For example, 11, 13, and 19 are prime factors of 2431.
- 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 2431 are (1, 2431), (11, 221), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 2431 is 11 × 13 × 19.
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 2431 are -1, -11, -13, -19, -143, -209, -247, and -2431.
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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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