114 LearnersLast updated on May 26th, 2025
Factors of 4761
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.
What are the Factors of 4761?
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
How to Find Factors of 4761?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 4761
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 4761, 1 and 4761 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 4761 consist of -1, -3, -9, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 4761/1.5 = 3174, 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 4761 are prime numbers.
For example, 3 and 23 are the prime factors of 4761, but it has other factors like 9, 69.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 4761 as 3² × 23² and missing all the key factors.
Factors of 4761 Examples
Problem 1
There are 9 friends and 4761 marbles. How will they divide it equally?
They will get 529 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
4761/9 = 529
Problem 2
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.
Explanation
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.
Problem 3
There are 3 baskets and 4761 apples. How many apples will be in each basket?
Each basket will have 1587 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
4761/3 = 1587
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
4761/23 = 207
Problem 5
4761 pages need to be printed in 69 booklets. How many pages will go in each booklet?
Each of the booklets has 69 pages.
Explanation
Divide total pages by booklets.
4761/69 = 69
FAQs on Factors of 4761
1.What are the factors of 4761?
2.Mention the prime factors of 4761.
3.Is 4761 a multiple of 9?
4.Mention the factor pairs of 4761?
5.What is the square of 69?
6.How can children in Canada use numbers in everyday life to understand Factors of 4761?
7.What are some fun ways kids in Canada can practice Factors of 4761 with numbers?
8.What role do numbers and Factors of 4761 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 4761 skills?
Important Glossaries for Factors of 4761
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, and 4761.
- Prime factors: The factors which are prime numbers. For example, 3 and 23 are prime factors of 4761.
- 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 4761 are (1, 4761), (3, 1587), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 4761 is 3² × 23².
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using this method for 4761 gives pairs like (3, 1587).
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About BrightChamps in Canada
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.
