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Last updated on January 20th, 2025

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Factors of 249

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The numbers which divide the given number evenly, without leaving any remainder, is called a factor. In our daily life, we use factors in areas like project management and data structuring. We will learn more about the factors of 249 in this topic.

Factors of 249 for US Students
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What are the Factors of 249?

While multiplying two positive numbers, those two numbers become the factors of their  product. Factors have the following properties:

 

  • The smallest factor of any number is 1.
  • A number has a finite number of factors.
  • Factors are always less than or equal to the number, except the prime numbers which have only 1 and the number itself. 
  • Division and multiplication operations are used for finding factors.

 

 

The factors of 249 are 1, 3, 83, and 249.

Negative Factors of 249: -1, -3, -83, and -249
Prime Factors of 249: 3 and 83
Prime Factorization of 249: 3 x 83
The Sum of Factors of 249: 336
 

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How to Find the Factors of 249

We can find the factors using multiplication and division. Let us look at these methods in detail.

 

 

  • Multiplication
  • Division Method
     
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

While multiplying two whole numbers, we get a product, then the two whole numbers are called factors.
For example, to find the factors of 12, we can use the following steps

 

1  12 = 12
2  6 = 12              
3  4 = 12
4  3 = 12


As a result, the factors of 12 are 1, 2, 3, 4, and 12.  
 

Professor Greenline from BrightChamps

Finding Factors by Division Method

The division method helps us find all factors of a number. We need to check the numbers upto the square root of the given number. Lets find the factors of 10 using following steps.


Step 1: Start with 1, 10/1 = 10, so 1 and 10 are factors.


Step 2: try with 2 next, 10/2 = 5, there is no remainder. So 2 and 5 are factors.


Step 3: Divide 10 by 3, we get the remainder as 1. So 3 is not a factor of 10.


Step 4: Continue dividing 10 by the numbers up to 3 (square root of 10 = 3.16).


As a result, the numbers 1, 2, 5, and 10 evenly divide 10 without leaving any remainder. Using this method, we have successfully found the factors of 10 to be 1, 2, 5, and 10.
 

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

Prime Factors: The factors which are prime numbers are called prime factors. For example, the factors of 6 are 1, 2, 3, and 6. Among these, 2 and 3 are the prime factors.


Prime Factorization: Reducing the number into its prime factors is called prime factorization. For example, the prime factors of 6 are 2 and 3. The prime factorization of 6 is 2  3.


Prime Factors of 249 - The prime factors of 249 are 3 and 83. Let us now verify the answer by using the methods mentioned below:

 

  • Prime factorization
  • Factor tree

 

Prime Factorization of 249 - Let us find out the prime factorization of 249.


Step 1: Start dividing the number by the small prime numbers. 249 is not divisible by 2 because the unit’s place digit is 9, which is an odd number.


Step 2: Next, divide 249 by 3 we get the quotient as 83, which is a prime number.


Step 3: The number 249 can be reduced to 3  83. 


The prime factorization of 249 is 3 x 83. 
 

Professor Greenline from BrightChamps

Factor Tree

The pictorial representation of prime factors of a number is called factor tree. Every branch in the tree is divided into factors. As soon as one of the factors at the end of the branch is a prime number, stop expanding the tree.


Factor tree of 249: 


 

The diagram above reveals that 1, 3, 83, and 249 are the factors of 249.


The prime factorization of 249 is 3 x  83. 
 

Professor Greenline from BrightChamps

Factor Pairs

The set of two numbers whose product equals the original number is known as factor pairs. There are two types of factor pairs: Positive factor pairs and negative factor pairs.


Positive Pair Factors: (1, 249) and (3, 83)

 
Negative Pair Factors: (-1, -249) and (-3, -83)
 

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Common Mistakes and How to Avoid Them in Factors of 249

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Factors of 249 Examples

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Problem 1

A company CEO wants to divide his 249 employees into three teams. Calculate the number of employees that each team has.

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Explanation

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Problem 2

A flower shop has 3 regular customers. Each customer buys a bouquet consisting of 83 flowers. How many flowers are needed to make the bouquets?

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Explanation

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Problem 3

Find the sum of all factors of 249.

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Explanation

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Problem 4

Calculate the area of the rectangular plot whose length is 83 cm and breadth is 3 cm.

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Explanation

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FAQs on Factors of 249

1.How many positive factors does the number 249 have?

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2.What is the sum of factors of 249?

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3.What is the GCF of 249 and 3?

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4.Is 24 a factor of 249?

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5. What is the LCM of 249 and 3?

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6.How can children in United States use numbers in everyday life to understand Factors of 249?

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7.What are some fun ways kids in United States can practice Factors of 249 with numbers?

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8.What role do numbers and Factors of 249 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors of 249 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 249

  • Greatest Common Factor (GCF): The largest number that divides two or more numbers evenly without leaving any remainder is called GCF.Example: The GCF of 249 and 3 is 3. This is because, among the factors of 249 and 3, 3 is greatest.

 

  • Least Common Multiple (LCM): It is the smallest positive number that is a multiple of two or more numbers.Example: The LCM of 24 and 36 is 72.

 

  • Prime Numbers: The numbers which can be disable by 1 and themselves are called prime numbers.Example: 2, 3, 5, 7, and 11 are prime numbers because they have only two factors.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 249, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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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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