120 LearnersLast updated on May 26th, 2025
Factors of 246
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 246, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 246?
The numbers that divide 246 evenly are known as factors of 246. A factor of 246 is a number that divides the number without remainder.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, and 246.
Negative factors of 246: -1, -2, -3, -6, -41, -82, -123, and -246.
Prime factors of 246: 2, 3, and 41.
Prime factorization of 246: 2 × 3 × 41.
The sum of factors of 246: 1 + 2 + 3 + 6 + 41 + 82 + 123 + 246 = 504
How to Find Factors of 246?
Factors can be found using different methods. Mentioned below are some commonly used method
- 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 246. Identifying the numbers which are multiplied to get the number 246 is the multiplication method.
Step 1: Multiply 246 by 1, 246 × 1 = 246.
Step 2: Check for other numbers that give 246 after multiplying
2 × 123 = 246
3 × 82 = 246
6 × 41 = 246
Therefore, the positive factor pairs of 246 are: (1, 246), (2, 123), (3, 82), and (6, 41).
All these factor pairs result in 246. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 246 by 1, 246 ÷ 1 = 246.
Step 2: Continue dividing 246 by the numbers until the remainder becomes 0.
246 ÷ 1 = 246
246 ÷ 2 = 123
246 ÷ 3 = 82
246 ÷ 6 = 41
Therefore, the factors of 246 are: 1, 2, 3, 6, 41, 82, 123, 246.
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 246 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
246 ÷ 2 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1
The prime factors of 246 are 2, 3, and 41.
The prime factorization of 246 is: 2 × 3 × 41.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 246 is divided by 2 to get 123.
Step 2: Now divide 123 by 3 to get 41.
Step 3: Divide 41 by itself as it is a prime number.
Here, 41 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 246 is: 2 × 3 × 41.
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 246: (1, 246), (2, 123), (3, 82), and (6, 41).
Negative factor pairs of 246: (-1, -246), (-2, -123), (-3, -82), and (-6, -41).
Common Mistakes and How to Avoid Them in Factors of 246
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 246, 1 and 246 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 246 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 246/1.5 = 164, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 246 are prime numbers. For example, 2, 3, and 41 are the prime factors of 246, but it has other factors like 6, 82.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 246 as 2 × 3 × 41 and missing all the key factors.
Factors of 246 Examples
Problem 1
There are 246 apples and 3 baskets. How will they divide the apples equally?
They will get 82 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
246/3 = 82
Problem 2
A building has 246 floors, and each floor has 2 apartments. How many apartments are there in total?
492 apartments.
Explanation
To find the total apartments, we use the formula,
Total apartments = floors × apartments per floor 2
46 × 2 = 492
Problem 3
A car travels 246 kilometers in 6 hours. What is the average speed of the car?
41 kilometers per hour.
Explanation
To find the average speed, divide the total distance by the total time.
246/6 = 41
Problem 4
There are 82 chairs and 2 tables in a hall. How many chairs are there per table?
There are 41 chairs per table.
Explanation
Dividing the total number of chairs by the number of tables will give the number of chairs per table.
82/2 = 41
Problem 5
246 students are sitting in 3 rows. How many students are in each row?
Each row has 82 students.
Explanation
Divide the total number of students by the number of rows.
246/3 = 82
FAQs on Factors of 246
1.What are the factors of 246?
2.Mention the prime factors of 246.
3.Is 246 a multiple of 41?
4.Mention the factor pairs of 246?
5.What is the square of 246?
6.How can children in United States use numbers in everyday life to understand Factors of 246?
7.What are some fun ways kids in United States can practice Factors of 246 with numbers?
8.What role do numbers and Factors of 246 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 246 skills?
Important Glossaries for Factor of 246
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 246 are 1, 2, 3, 6, 41, 82, 123, and 246.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 41 are prime factors of 246.
- 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 246 are (1, 246), (2, 123), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 246 is 2 × 3 × 41.
- Multiplication method: A method to find factors by identifying number pairs that multiply to give the original number. For example, 2 × 123 = 246.
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About BrightChamps in United States
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.
