122 LearnersLast updated on May 26th, 2025
Factors of 4931
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 4931, how they are used in real life, and tips to learn them quickly.
What are the Factors of 4931?
The numbers that divide 4931 evenly are known as factors of 4931.
A factor of 4931 is a number that divides the number without a remainder.
The factors of 4931 are 1, 17, 289, and 4931.
Negative factors of 4931: -1, -17, -289, and -4931.
Prime factors of 4931: 17.
Prime factorization of 4931: 17 × 289.
The sum of factors of 4931: 1 + 17 + 289 + 4931 = 5238
How to Find Factors of 4931?
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 4931. Identifying the numbers which are multiplied to get the number 4931 is the multiplication method.
Step 1: Multiply 4931 by 1, 4931 × 1 = 4931.
Step 2: Check for other numbers that give 4931 after multiplying
17 × 289 = 4931
Therefore, the positive factor pairs of 4931 are: (1, 4931) and (17, 289).
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 4931 by 1, 4931 ÷ 1 = 4931.
Step 2: Continue dividing 4931 by the numbers until the remainder becomes 0.
4931 ÷ 1 = 4931
4931 ÷ 17 = 289
Therefore, the factors of 4931 are: 1, 17, 289, and 4931.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 4931 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4931 ÷ 17 = 289
289 ÷ 17 = 17
17 ÷ 17 = 1
The prime factor of 4931 is 17.
The prime factorization of 4931 is: 17 × 289.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4931 is divided by 17 to get 289.
Step 2: Now divide 289 by 17 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4931 is: 17 × 289.
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 4931: (1, 4931) and (17, 289).
Negative factor pairs of 4931: (-1, -4931) and (-17, -289).
Common Mistakes and How to Avoid Them in Factors of 4931
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 4931, 1, and 4931 are also factors.
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 4931 consist of -1, -17, -289, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 4931/1.5 = 3287.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 4931 are prime numbers. For example, 17 is a prime factor of 4931, but it has other factors like 289.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 4931 as 17 × 289 and missing all the key factors.
Factors of 4931 Examples
Problem 1
There are 17 people and 4931 apples. How will they divide it equally?
They will get 289 apples each.
Explanation
To divide the apples equally, we need to divide the total number of apples by the number of people.
4931/17 = 289
Problem 2
A rectangular garden has a length of 17 meters and a total area of 4931 square meters. Find the width.
289 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
4931 = 17 × width
To find the value of width, we need to shift 17 to the left side.
4931/17 = width
Width = 289.
Problem 3
There are 289 boxes and 4931 oranges. How many oranges will be in each box?
Each box will have 17 oranges.
Explanation
To find the oranges in each box, divide the total number of oranges by the number of boxes.
4931/289 = 17
Problem 4
In a class, there are 4931 students, and 17 groups. How many students are there in each group?
There are 289 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
4931/17 = 289
Problem 5
4931 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 289 books.
Explanation
Divide the total number of books by the number of shelves.
4931/17 = 289
FAQs on Factors of 4931
1.What are the factors of 4931?
2.Mention the prime factors of 4931.
3.Is 4931 a multiple of 17?
4.Mention the factor pairs of 4931?
5.What is the square of 4931?
6.How can children in India use numbers in everyday life to understand Factors of 4931?
7.What are some fun ways kids in India can practice Factors of 4931 with numbers?
8.What role do numbers and Factors of 4931 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 4931 skills?
Important Glossaries for Factor of 4931
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4931 are 1, 17, 289, and 4931.
- Prime factors: The factors which are prime numbers. For example, 17 is a prime factor of 4931.
- 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 4931 are (1, 4931) and (17, 289).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 4931 is 17 × 289.
- Negative factors: The negative counterparts of the positive factors. For example, the negative factors of 4931 are -1, -17, -289, and -4931.
Explore More numbers
About BrightChamps in India
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.
