Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 4761, how they are used in real life, and tips to learn them quickly.
The numbers that divide 4761 evenly are known as factors of 4761.
A factor of 4761 is a number that divides the number without remainder.
The factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, and 4761.
Negative factors of 4761: -1, -3, -9, -23, -69, -207, -529, -1587, and -4761.
Prime factors of 4761: 3 and 23.
Prime factorization of 4761: 3² × 23².
The sum of factors of 4761: 1 + 3 + 9 + 23 + 69 + 207 + 529 + 1587 + 4761 = 7189
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 4761. Identifying the numbers which are multiplied to get the number 4761 is the multiplication method.
Step 1: Multiply 4761 by 1, 4761 × 1 = 4761.
Step 2: Check for other numbers that give 4761 after multiplying
3 × 1587 = 4761
9 × 529 = 4761
23 × 207 = 4761
Therefore, the positive factor pairs of 4761 are: (1, 4761), (3, 1587), (9, 529), (23, 207).
All these factor pairs result in 4761.
For every positive factor, there is a negative factor.
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 4761 by 1, 4761 ÷ 1 = 4761.
Step 2: Continue dividing 4761 by the numbers until the remainder becomes 0.
4761 ÷ 1 = 4761
4761 ÷ 3 = 1587
4761 ÷ 9 = 529
4761 ÷ 23 = 207
Therefore, the factors of 4761 are: 1, 3, 9, 23, 69, 207, 529, 1587, 4761.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 4761 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4761 ÷ 3 = 1587
1587 ÷ 3 = 529
529 ÷ 23 = 23
23 ÷ 23 = 1
The prime factors of 4761 are 3 and 23.
The prime factorization of 4761 is: 3² × 23².
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4761 is divided by 3 to get 1587.
Step 2: Now divide 1587 by 3 to get 529.
Step 3: Then divide 529 by 23 to get 23.
Step 4: Divide 23 by 23 to get 1. Here, 23 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 4761 is: 3² × 23².
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 4761: (1, 4761), (3, 1587), (9, 529), (23, 207).
Negative factor pairs of 4761: (-1, -4761), (-3, -1587), (-9, -529), (-23, -207).
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 9 friends and 4761 marbles. How will they divide it equally?
They will get 529 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of friends.
4761/9 = 529
A garden is rectangular, the length of the garden is 23 meters and the total area is 4761 square meters. Find the width?
207 meters.
To find the width of the garden, we use the formula, Area = length × width
4761 = 23 × width
To find the value of width, we need to shift 23 to the left side.
4761/23 = width
Width = 207.
There are 3 baskets and 4761 apples. How many apples will be in each basket?
Each basket will have 1587 apples.
To find the apples in each basket, divide the total apples by the baskets.
4761/3 = 1587
In a class, there are 4761 students, and 23 groups. How many students are there in each group?
There are 207 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
4761/23 = 207
4761 pages need to be printed in 69 booklets. How many pages will go in each booklet?
Each of the booklets has 69 pages.
Divide total pages by booklets.
4761/69 = 69
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.