Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used method
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 246 apples and 3 baskets. How will they divide the apples equally?
They will get 82 apples each.
To divide the apples equally, we need to divide the total apples with the number of baskets.
246/3 = 82
A building has 246 floors, and each floor has 2 apartments. How many apartments are there in total?
492 apartments.
To find the total apartments, we use the formula,
Total apartments = floors × apartments per floor 2
46 × 2 = 492
A car travels 246 kilometers in 6 hours. What is the average speed of the car?
41 kilometers per hour.
To find the average speed, divide the total distance by the total time.
246/6 = 41
There are 82 chairs and 2 tables in a hall. How many chairs are there per table?
There are 41 chairs per table.
Dividing the total number of chairs by the number of tables will give the number of chairs per table.
82/2 = 41
246 students are sitting in 3 rows. How many students are in each row?
Each row has 82 students.
Divide the total number of students by the number of rows.
246/3 = 82
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.
: She loves to read number jokes and games.