164 LearnersLast updated on May 26th, 2025
Factors of 249
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.
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
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
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.
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.
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.
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.
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)
Common Mistakes and How to Avoid Them in Factors of 249
Children might make mistakes while finding the factors of a number. Here are some mistakes children might make while learning factors of a number.
Mistake 1
Assuming divisors and factors are different
Children might think both factors and divisors have different meanings. Teach them that they are the same. For example, 1, 3, 5, and 15 are the factors of 15, because they divide 15 completely without leaving any remainder.
Factors of 249 Examples
Problem 1
A company CEO wants to divide his 249 employees into three teams. Calculate the number of employees that each team has.
Given that the total number of employees = 249
Number of teams to be divided = 3
Number of employees that each team has = 249 /3 = 83
Explanation
To find the number of employees that each team has, we have to divide the total number of employees by the total number of teams. By dividing 249 by 3, we find that the number of employees per team is 83.
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?
Number of regular customers = 3
Number of flowers in each bouquet = 83
Number of flowers needed to make bouquets = 3 x 83 = 249
Explanation
To calculate the number of flowers required to make the bouquets, we have to multiply the number of customers by the number of flowers in each bouquet. After simplifying, we get 249 flowers needed for making 3 bouquets.
Problem 3
Find the sum of all factors of 249.
The factors of 249 are 1, 3, 83, and 249.
Sum = 1 + 3 + 83 + 249 = 336
Explanation
First find the factors of 249 and add them. The sum of factors of 249 is 336.
Problem 4
Calculate the area of the rectangular plot whose length is 83 cm and breadth is 3 cm.
The length of the rectangular plot is 83 cm.
The breadth of a rectangular plot is 3 cm.
Area of rectangular plot = length breadth
= 83 x 3 = 249 cm2
Explanation
To calculate the area of a rectangular plot, substitute the values of length (83 cm) and breadth (3 cm) into the formula.
Area of rectangle = 83 x 3.
We get the area of the rectangular plot as 249 cm2.
FAQs on Factors of 249
1.How many positive factors does the number 249 have?
2.What is the sum of factors of 249?
3.What is the GCF of 249 and 3?
4.Is 24 a factor of 249?
5. What is the LCM of 249 and 3?
6.How can children in Oman use numbers in everyday life to understand Factors of 249?
7.What are some fun ways kids in Oman can practice Factors of 249 with numbers?
8.What role do numbers and Factors of 249 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 249 skills?
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.
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About BrightChamps in Oman
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.
