Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 17 people and 4931 apples. How will they divide it equally?
They will get 289 apples each.
To divide the apples equally, we need to divide the total number of apples by the number of people.
4931/17 = 289
A rectangular garden has a length of 17 meters and a total area of 4931 square meters. Find the width.
289 meters.
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.
There are 289 boxes and 4931 oranges. How many oranges will be in each box?
Each box will have 17 oranges.
To find the oranges in each box, divide the total number of oranges by the number of boxes.
4931/289 = 17
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.
Dividing the students by the total groups, we will get the number of students in each group.
4931/17 = 289
4931 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 289 books.
Divide the total number of books by the number of shelves.
4931/17 = 289
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.
: She loves to read number jokes and games.