108 LearnersLast updated on May 26th, 2025
Factors of 1231
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 1231, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1231?
The numbers that divide 1231 evenly are known as factors of 1231. A factor of 1231 is a number that divides the number without remainder. The factors of 1231 are 1, 19, 61, and 1231.
Negative factors of 1231: -1, -19, -61, and -1231.
Prime factors of 1231: 19 and 61.
Prime factorization of 1231: 19 × 61.
The sum of factors of 1231: 1 + 19 + 61 + 1231 = 1312
How to Find Factors of 1231?
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 1231. Identifying the numbers which are multiplied to get the number 1231 is the multiplication method.
Step 1: Multiply 1231 by 1, 1231 × 1 = 1231.
Step 2: Check for other numbers that give 1231 after multiplying
19 × 61 = 1231
Therefore, the positive factor pairs of 1231 are: (1, 1231) and (19, 61). All these factor pairs result in 1231. 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 1231 by 1, 1231 ÷ 1 = 1231.
Step 2: Continue dividing 1231 by the numbers until the remainder becomes 0.
1231 ÷ 1 = 1231
1231 ÷ 19 = 61
1231 ÷ 61 = 19
Therefore, the factors of 1231 are: 1, 19, 61, 1231.
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 1231 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1231 ÷ 19 = 61
61 ÷ 61 = 1
The prime factors of 1231 are 19 and 61. The prime factorization of 1231 is: 19 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1231 is divided by 19 to get 61.
Step 2: Now divide 61 by 61 to get 1. Here, 61 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1231 is: 19 × 61.
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 1231: (1, 1231) and (19, 61).
- Negative factor pairs of 1231: (-1, -1231) and (-19, -61).
Common Mistakes and How to Avoid Them in Factors of 1231
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 1231, 1 and 1231 are also factors.
Factors of 1231 Examples
Problem 1
There are 19 students and 1231 candies. How will they divide it equally?
They will get 61 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of students.
1231/19 = 61
Problem 2
A rectangular garden has a length of 19 meters and a total area of 1231 square meters. Find the width.
61 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1231 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1231/19 = width
Width = 61.
Problem 3
A company has 61 boxes and 1231 items. How many items will be in each box?
Each box will have 19 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1231/61 = 19
Problem 4
In a club, there are 1231 members and 19 committees. How many members are there in each committee?
There are 61 members in each committee.
Explanation
Dividing the members by the total committees, we will get the number of members in each committee.
1231/19 = 61
Problem 5
1231 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each shelf has 61 books.
Explanation
Divide total books by shelves.
1231/19 = 61
FAQs on Factors of 1231
1.What are the factors of 1231?
2.Mention the prime factors of 1231.
3.Is 1231 a multiple of 19?
4.Mention the factor pairs of 1231?
5.What is the square of 1231?
Important Glossaries for Factor of 1231
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1231 are 1, 19, 61, and 1231.
- Prime factors: The factors which are prime numbers. For example, 19 and 61 are prime factors of 1231.
- 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 1231 are (1, 1231) and (19, 61).
- Negative factors: Negative numbers that divide the original number without a remainder. For example, -1, -19, -61, and -1231 are negative factors of 1231.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1231 is 19 × 61.
Explore More numbers
Previous to Factors of 1231
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.
