107 LearnersLast updated on May 26th, 2025
Factors of 1246
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 1246, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1246?
The numbers that divide 1246 evenly are known as factors of 1246. A factor of 1246 is a number that divides the number without remainder. The factors of 1246 are 1, 2, 623, and 1246.
Negative factors of 1246: -1, -2, -623, and -1246.
Prime factors of 1246: 2 and 623.
Prime factorization of 1246: 2 × 623.
The sum of factors of 1246: 1 + 2 + 623 + 1246 = 1872
How to Find Factors of 1246?
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 1246. Identifying the numbers which are multiplied to get the number 1246 is the multiplication method.
Step 1: Multiply 1246 by 1, 1246 × 1 = 1246.
Step 2: Check for other numbers that give 1246 after multiplying.
2 × 623 = 1246
Therefore, the positive factor pairs of 1246 are: (1, 1246) and (2, 623). 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 1246 by 1, 1246 ÷ 1 = 1246.
Step 2: Continue dividing 1246 by the numbers until the remainder becomes 0.
1246 ÷ 1 = 1246
1246 ÷ 2 = 623
Therefore, the factors of 1246 are: 1, 2, 623, and 1246.
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 1246 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1246 ÷ 2 = 623
623 ÷ 623 = 1
The prime factors of 1246 are 2 and 623. The prime factorization of 1246 is: 2 × 623.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1246 is divided by 2 to get 623. Here, 623 is a prime number and cannot be divided anymore. So, the prime factorization of 1246 is: 2 × 623.
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 1246: (1, 1246) and (2, 623).
- Negative factor pairs of 1246: (-1, -1246) and (-2, -623).
Common Mistakes and How to Avoid Them in Factors of 1246
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 number. Always remember to include 1 and the number itself. For example, in factors of 1246, 1 and 1246 are also factors.
Factors of 1246 Examples
Problem 1
There are 4 teams and 1246 candies. How will they divide it equally?
They will get 311.5 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
1246/4 = 311.5
Problem 2
A rectangular pool has a length of 2 meters and the total area is 1246 square meters. Find the width?
623 meters.
Explanation
To find the width of the pool, we use the formula,
Area = length × width
1246 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1246/2 = width
Width = 623.
Problem 3
There are 623 oranges and 1246 boxes. How many boxes will each orange need?
Each orange will need 2 boxes.
Explanation
To find the boxes needed for each orange, divide the total boxes by the number of oranges.
1246/623 = 2
Problem 4
In a garden, there are 1246 flowers, and 2 rows. How many flowers are there in each row?
There are 623 flowers in each row.
Explanation
Dividing the flowers by the total rows, we will get the number of flowers in each row.
1246/2 = 623
Problem 5
1246 apples need to be arranged in 623 baskets. How many apples will go in each basket?
Each basket will have 2 apples.
Explanation
Divide total apples by baskets.
1246/623 = 2
FAQs on Factors of 1246
1.What are the factors of 1246?
2.Mention the prime factors of 1246.
3.Is 1246 a multiple of 2?
4.Mention the factor pairs of 1246?
5.What is the square of 1246?
Important Glossaries for Factor of 1246
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1246 are 1, 2, 623, and 1246.
- Prime factors: The factors which are prime numbers. For example, 2 and 623 are prime factors of 1246.
- 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 1246 are (1, 1246) and (2, 623).
- Prime factorization: Breaking down a number into its prime components. For example, the prime factorization of 1246 is 2 × 623.
- Division method: A method to find factors by dividing the number by integers to check for zero remainders. For example, dividing 1246 by its factors results in whole numbers.
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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.
Fun Fact
: She loves to read number jokes and games.
