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218 LearnersLast updated on December 10th, 2024
Factors of 54
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.
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
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
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
From this, we conclude that, factors of 54 are:1,2,3,6,9,18,27, and 54.
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
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
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).
Common Mistakes and How to Avoid Them in Factors of 54
Factors of 54 Examples
Problem 1
Find the GCF of 54 and 72
Explanation
Problem 2
Find the LCM of 54 and 72
Explanation
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?
Explanation
Problem 4
Find the smallest number that is divisible by 2,6,18 and 27.
Explanation
Problem 5
What is the sum of the factors of 54 and 55?
Explanation
FAQs on Factors of 54
1.What is 54 divisible by?
2.How to find factors of a number?
3.Is 54 a factor of 12?
4.Is 6 a factor of 54?
5.Does 54 go into 3?
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.
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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.
Fun Fact
: She loves to read number jokes and games.
