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Last updated on December 10th, 2024

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Factors of 54

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Factors of any number are the whole numbers that can divide the number completely. Why are factors important to learn? For mathematical approaches, factors are used in organizing and bringing more efficiency to any task. In this article, let's learn how to solve factors of 54 easily.

Factors of 54 for Vietnamese Students
Professor Greenline from BrightChamps

What are the Factors of 54?

Factors of 54 are those numbers that can divide 54 perfectly. The factors of 54 are:


1,2,3,6,9,18,27, and 54.


Negative factors of 54: -1, -2, -3 -6, -9, -18, -27, -54


Prime factors of 54: 2,3


Prime factorization of 54: 33×2


The sum of factors of 54: 1+2+3+6+9+18+27+54= 120
 

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How to Find the Factors of 54

For finding factors of 54, we will be learning these below-mentioned methods:

 

  • Multiplication Method

 

  • Division Method

 

  • Prime Factor and Prime Factorization

 

  • Factor Tree
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Finding Factors using Multiplication Methods

This particular method often finds the pair of factors which, on multiplication together, produces 54. Let us find the pairs which, on multiplication, yields 54.


1×54=54


2×27=54


3×18=54


6×9=54

Factors of 54 by multiplication method
From this, we conclude that, factors of 54 are:1,2,3,6,9,18,27, and 54.
 

Professor Greenline from BrightChamps

Finding Factors using Division Method

The division method finds the numbers that evenly divides the given number 54. To find the factors of 54, we have to divide 54 by all possible natural numbers less than 54 and check.


1,2,3,6,9,18,27, 54 are the only factors that the number 54 has. So to verify the factors of 54 using the division method, we just need to divide 54 by each factor.


54/1 =54


54/2 =27


54/3=18


54/6=9


54/9=6


54/18=3


54/27=2


54/54=1
Factors of 54 by the division method

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

Prime Factorization is the easiest process to find prime factors. It decomposes 54 into a product of its prime integers.


Prime Factors of 54: 2,3.


Prime Factorization of 54: 3×3×3×2 = 33×2
 

Professor Greenline from BrightChamps

Factor tree

The number 54 is written on top and two branches are extended.


Fill in those branches with a factor pair of the number above, i.e., 54.


Continue this process until each branch ends with a prime factor (number).


The first two branches of the factor tree of 54 are 2 and 27, then proceeding to 27, we get 3 and 9. Similarly, for 9: 3 and 3
    

Factor Pairs:


Positive pair factors:   (1,54), (2,27), (3,18), (6,9)


Negative pair factors: (-1,-54), (-2,-27), (-3,-18), (-6,-9).

 

Factors of 54 using factor tree

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Common Mistakes and How to Avoid Them in Factors of 54

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Factors of 54 Examples

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Problem 1

Find the GCF of 54 and 72

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Explanation

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Problem 2

Find the LCM of 54 and 72

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Explanation

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Max, the Girl Character from BrightChamps

Problem 3

The area of a rectangle is 54 square units. If the length is 9 units, then what is the measure of its width?

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Explanation

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Max, the Girl Character from BrightChamps

Problem 4

Find the smallest number that is divisible by 2,6,18 and 27.

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Explanation

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Problem 5

What is the sum of the factors of 54 and 55?

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Explanation

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FAQs on Factors of 54

1.What is 54 divisible by?

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2.How to find factors of a number?

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3.Is 54 a factor of 12?

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4.Is 6 a factor of 54?

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5.Does 54 go into 3?

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6.How can children in Vietnam use numbers in everyday life to understand Factors of 54?

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7.What are some fun ways kids in Vietnam can practice Factors of 54 with numbers?

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8.What role do numbers and Factors of 54 play in helping children in Vietnam develop problem-solving skills?

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9.How can families in Vietnam create number-rich environments to improve Factors of 54 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 54

  • Ratio - Ratio of two numbers compares between them, how many times one number contains the other number. It is expressed as m:n, where m and n are two positive numbers whose ratio is to be shown.

 

  • Factors - These are numbers that divide the given number without leaving any remainder or the remainder as 0.

 

  • Prime Factorization - It involves factoring the number into its prime factors.

 

  • Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.

 

  • Composite numbers - These are numbers having more than two factors.

 

  • Multiple - It is a product of the given number and any other integer.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, numbers are more than just figures—they unlock countless opportunities! Our mission is to guide children throughout Vietnam in mastering essential math skills, with today’s focus on Factors of 54 and a special highlight on factors—in a way that’s fun, lively, and easy to understand. Whether your child is figuring out the speed of a roller coaster at Suoi Tien Theme Park, keeping score at a local football game, or managing their allowance to buy cool gadgets, strong number skills boost their everyday confidence. Our interactive lessons make learning simple and enjoyable. Since children in Vietnam learn in different styles, we personalize our approach to each child. From Ho Chi Minh City’s vibrant streets to the stunning views of Ha Long Bay, BrightChamps brings math to life across Vietnam. Let’s make factors an exciting part of every child’s learning journey!
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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.

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Fun Fact

: She loves to read number jokes and games.

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