114 LearnersLast updated on May 26th, 2025
Factors of 4851
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 4851, how they are used in real life, and tips to learn them quickly.
What are the Factors of 4851?
The numbers that divide 4851 evenly are known as factors of 4851.
A factor of 4851 is a number that divides the number without remainder.
The factors of 4851 are 1, 3, 9, 27, 179, 537, 1611, and 4851.
Negative factors of 4851: -1, -3, -9, -27, -179, -537, -1611, and -4851.
Prime factors of 4851: 3 and 179.
Prime factorization of 4851: 3 × 3 × 3 × 179 or 33 × 179.
The sum of factors of 4851: 1 + 3 + 9 + 27 + 179 + 537 + 1611 + 4851 = 7218
How to Find Factors of 4851?
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 4851. Identifying the numbers which are multiplied to get the number 4851 is the multiplication method.
Step 1: Multiply 4851 by 1, 4851 × 1 = 4851.
Step 2: Check for other numbers that give 4851 after multiplying
3 × 1617 = 4851
9 × 537 = 4851
27 × 179 = 4851
Therefore, the positive factor pairs of 4851 are: (1, 4851), (3, 1617), (9, 537), (27, 179). 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 a whole number as factors. Factors can be calculated by following the simple division method
Step 1: Divide 4851 by 1, 4851 ÷ 1 = 4851.
Step 2: Continue dividing 4851 by the numbers until the remainder becomes 0.
4851 ÷ 1 = 4851
4851 ÷ 3 = 1617
4851 ÷ 9 = 537
4851 ÷ 27 = 179
Therefore, the factors of 4851 are: 1, 3, 9, 27, 179, 537, 1617, 4851.
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 4851 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4851 ÷ 3 = 1617
1617 ÷ 3 = 539
539 ÷ 3 = 179
179 ÷ 179 = 1
The prime factors of 4851 are 3 and 179.
The prime factorization of 4851 is: 33 × 179.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4851 is divided by 3 to get 1617.
Step 2: Now divide 1617 by 3 to get 539.
Step 3: Then divide 539 by 3 to get 179.
Step 4: Divide 179 by 179 to get 1. So, the prime factorization of 4851 is: 33 × 179.
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 4851: (1, 4851), (3, 1617), (9, 537), (27, 179).
Negative factor pairs of 4851: (-1, -4851), (-3, -1617), (-9, -537), (-27, -179).
Common Mistakes and How to Avoid Them in Factors of 4851
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 4851, 1 and 4851 is also a factor.
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 4851 consist of -1, -3, -9, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 4851/1.5 = 3234, 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 4851 are prime numbers.
For example, 3 and 179 are the prime factors of 4851, but it has other factors like 9, 27.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 4851 as 33 × 179 and missing all the key factors.
Factors of 4851 Examples
Problem 1
There are 9 tables and 4851 candies. How will they be divided equally?
Each table will get 539 candies.
Explanation
To divide the candies equally, we need to divide the total candies by the number of tables.
4851/9 = 539
Problem 2
A rectangular plot has a length of 27 meters and a total area of 4851 square meters. Find the width.
179 meters.
Explanation
To find the width of the plot, we use the formula:
Area = length × width
4851 = 27 × width
To find the value of width, we need to shift 27 to the left side.
4851/27 = width
Width = 179.
Problem 3
There are 3 groups and 4851 coins. How many coins will be in each group?
Each group will have 1617 coins.
Explanation
To find the coins in each group, divide the total coins by the groups.
4851/3 = 1617
Problem 4
A music playlist has 4851 songs, and there are 27 hours available. How many songs can be played in each hour?
179 songs can be played in each hour.
Explanation
Dividing the songs by the total hours, we will get the number of songs in each hour.
4851/27 = 179
Problem 5
4851 books need to be arranged in 9 shelves. How many books will go on each shelf?
Each of the shelves has 539 books.
Explanation
Divide total books by shelves.
4851/9 = 539
FAQs on Factors of 4851
1.What are the factors of 4851?
2.Mention the prime factors of 4851.
3.Is 4851 a multiple of 9?
4.Mention the factor pairs of 4851?
5.What is the cube of 4851?
6.How can children in Canada use numbers in everyday life to understand Factors of 4851?
7.What are some fun ways kids in Canada can practice Factors of 4851 with numbers?
8.What role do numbers and Factors of 4851 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 4851 skills?
Important Glossaries for Factors of 4851
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4851 are 1, 3, 9, 27, 179, 537, 1617, and 4851.
- Prime factors: The factors which are prime numbers. For example, 3 and 179 are prime factors of 4851.
- 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 4851 are (1, 4851), (3, 1617), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 4851 is 33 × 179.
- Multiplication method: A method used to find factor pairs by multiplying numbers to achieve the original number. For example, using multiplication to find that 9 × 537 = 4851.
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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
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