100 LearnersLast updated on May 26th, 2025
Factors of 459
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 459, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 459?
The numbers that divide 459 evenly are known as factors of 459.
A factor of 459 is a number that divides the number without remainder.
The factors of 459 are 1, 3, 9, 17, 27, 51, 153, and 459.
Negative factors of 459: -1, -3, -9, -17, -27, -51, -153, and -459.
Prime factors of 459: 3 and 17.
Prime factorization of 459: 3 × 3 × 17 or
The sum of factors of 459: 1 + 3 + 9 + 17 + 27 + 51 + 153 + 459 = 720
How to Find Factors of 459?
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 459. Identifying the numbers which are multiplied to get the number 459 is the multiplication method.
Step 1: Multiply 459 by 1, 459 × 1 = 459.
Step 2: Check for other numbers that give 459 after multiplying
3 × 153 = 459
9 × 51 = 459
17 × 27 = 459
Therefore, the positive factor pairs of 459 are: (1, 459), (3, 153), (9, 51), (17, 27). All these factor pairs result in 459.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 459 by 1, 459 ÷ 1 = 459.
Step 2: Continue dividing 459 by the numbers until the remainder becomes 0.
459 ÷ 1 = 459
459 ÷ 3 = 153
459 ÷ 9 = 51
459 ÷ 17 = 27
Therefore, the factors of 459 are: 1, 3, 9, 17, 27, 51, 153, 459.
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 459 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
459 ÷ 3 = 153
153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1
The prime factors of 459 are 3 and 17.
The prime factorization of 459 is: 33 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 459 is divided by 3 to get 153.
Step 2: Now divide 153 by 3 to get 51. Step 3: Then divide 51 by 3 to get 17. Here, 17 is the smallest prime number and cannot be divided anymore.
So, the prime factorization of 459 is: 33 × 17.
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 459: (1, 459), (3, 153), (9, 51), (17, 27).
Negative factor pairs of 459: (-1, -459), (-3, -153), (-9, -51), (-17, -27).
Common Mistakes and How to Avoid Them in Factors of 459
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 word. Always remember to include 1 and the number itself.
For example, in factors of 459, 1 and 459 are also factors.
Factors of 459 Examples
Problem 1
There are 27 teams and 459 players. How will they be divided equally?
They will have 17 players each.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
459/27 = 17
Problem 2
A garden is rectangular, the length of the garden is 9 meters and the total area is 459 square meters. Find the width.
51 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
459 = 9 × width
To find the value of width, we need to shift 9 to the left side.
459/9 = width
Width = 51.
Problem 3
There are 17 baskets and 459 apples. How many apples will be in each basket?
Each basket will have 27 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
459/17 = 27
Problem 4
In a conference, there are 459 attendees, and 3 sessions. How many attendees are there in each session?
There are 153 attendees in each session.
Explanation
Dividing the attendees by the total sessions, we will get the number of attendees in each session.
459/3 = 153
Problem 5
459 pages need to be organized into 51 folders. How many pages will go into each folder?
Each of the folders will have 9 pages.
Explanation
Divide total pages by folders.
459/51 = 9
FAQs on Factors of 459
1.What are the factors of 459?
2.Mention the prime factors of 459.
3.Is 459 a multiple of 3?
4.Mention the factor pairs of 459?
5.What is the square of 459?
6.How can children in Qatar use numbers in everyday life to understand Factors of 459?
7.What are some fun ways kids in Qatar can practice Factors of 459 with numbers?
8.What role do numbers and Factors of 459 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 459 skills?
Important Glossaries for Factors of 459
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 459 are 1, 3, 9, 17, 27, 51, 153, and 459.
- Prime factors: The factors which are prime numbers. For example, 3 and 17 are prime factors of 459.
- 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 459 are (1, 459), (3, 153), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For 459, it is 33 × 17.
- Multiples: The product of a number and any integer. For example, 459 is a multiple of 3.
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About BrightChamps in Qatar
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.
