120 LearnersLast updated on May 26th, 2025
Factors of 1931
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 1931, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1931?
The numbers that divide 1931 evenly are known as factors of 1931.
A factor of 1931 is a number that divides the number without remainder.
The factors of 1931 are 1 and 1931.
Negative factors of 1931: -1 and -1931.
Prime factors of 1931: 1931 (since it is a prime number).
Prime factorization of 1931: 1931.
The sum of factors of 1931: 1 + 1931 = 1932
How to Find Factors of 1931?
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 1931. Identifying the numbers which are multiplied to get the number 1931 is the multiplication method.
Step 1: Multiply 1931 by 1, 1931 × 1 = 1931.
Since 1931 is a prime number, the only positive factor pair is: (1, 1931).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1931 by 1, 1931 ÷ 1 = 1931.
Since 1931 is prime, dividing by any other number except 1 and 1931 does not result in a whole number.
Therefore, the factors of 1931 are: 1 and 1931.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, since 1931 is a prime number, its only prime factor is itself.
The prime factors of 1931 are 1931.
The prime factorization of 1931 is: 1931.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1931 is a prime number, it cannot be broken down further. So, the prime factorization of 1931 is: 1931.
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 pair of 1931: (1, 1931).
Negative factor pair of 1931: (-1, -1931).
Common Mistakes and How to Avoid Them in Factors of 1931
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 1931, 1 and 1931 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1931 consist of -1 and -1931.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1931/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 1931 are prime numbers. 1931 is a prime number, which means its only factors are 1 and itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing 1931 as a prime number and trying to factorize it incorrectly.
Factors of 1931 Examples
Problem 1
There are 1,931 marbles and 1 box. How will they distribute them?
The box will have 1,931 marbles.
Explanation
To distribute the marbles, we need to divide the total marbles by the number of boxes.
1931/1 = 1931
Problem 2
A plot of land is rectangular, and its area is 1931 square meters with a known length of 1 meter. Find the width?
1931 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1931 = 1 × width
To find the value of width, divide 1931 by 1.
1931/1 = width
Width = 1931.
Problem 3
There are 1931 pages to be printed and 1 printer. How many pages will be printed per printer?
Each printer will print 1931 pages.
Explanation
To find the pages printed per printer, divide the total pages by the number of printers.
1931/1 = 1931
Problem 4
In a conference, there are 1,931 participants, and 1 room. How many participants are there in each room?
There are 1,931 participants in each room.
Explanation
Dividing the participants by the total rooms, we will get the number of participants in each room.
1931/1 = 1931
Problem 5
1931 chairs need to be arranged in 1 hall. How many chairs will go in each hall?
The hall will have 1931 chairs.
Explanation
Divide the total chairs by the number of halls.
1931/1 = 1931
FAQs on Factors of 1931
1.What are the factors of 1931?
2.Mention the prime factors of 1931.
3.Is 1931 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 1931?
5.What is the square of 1931?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1931?
7.What are some fun ways kids in United Kingdom can practice Factors of 1931 with numbers?
8.What role do numbers and Factors of 1931 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1931 skills?
Important Glossaries for Factor of 1931
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1931 are 1 and 1931.
- Prime factors: The factors which are prime numbers. For example, 1931 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1931 is (1, 1931).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself; for example, 1931.
- Factorization: The process of breaking down a number into its prime factors. For example, the factorization of 1931 is simply 1931, as it is a prime number.
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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
: She loves to read number jokes and games.
