112 LearnersLast updated on May 26th, 2025
Factors of 1242
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 1242, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1242?
The numbers that divide 1242 evenly are known as factors of 1242. A factor of 1242 is a number that divides the number without a remainder. The factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, and 1242.
Negative factors of 1242: -1, -2, -3, -6, -9, -18, -23, -27, -46, -54, -69, -138, -207, -414, -621, and -1242.
Prime factors of 1242: 2, 3, and 23.
Prime factorization of 1242: 2 × 32 × 23.
The sum of factors of 1242: 1 + 2 + 3 + 6 + 9 + 18 + 23 + 27 + 46 + 54 + 69 + 138 + 207 + 414 + 621 + 1242 = 2880
How to Find Factors of 1242?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1242. Identifying the numbers which are multiplied to get the number 1242 is the multiplication method.
Step 1: Multiply 1242 by 1, 1242 × 1 = 1242.
Step 2: Check for other numbers that give 1242 after multiplying
2 × 621 = 1242
3 × 414 = 1242
6 × 207 = 1242
9 × 138 = 1242
18 × 69 = 1242
23 × 54 = 1242
27 × 46 = 1242
Therefore, the positive factor pairs of 1242 are: (1, 1242), (2, 621), (3, 414), (6, 207), (9, 138), (18, 69), (23, 54), (27, 46). All these factor pairs result in 1242. 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 1242 by 1, 1242 ÷ 1 = 1242.
Step 2: Continue dividing 1242 by the numbers until the remainder becomes 0.
1242 ÷ 1 = 1242
1242 ÷ 2 = 621
1242 ÷ 3 = 414
1242 ÷ 6 = 207
1242 ÷ 9 = 138
1242 ÷ 18 = 69
1242 ÷ 23 = 54
1242 ÷ 27 = 46
Therefore, the factors of 1242 are: 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1242 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1242 ÷ 2 = 621
621 ÷ 3 = 207
207 ÷ 3 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
The prime factors of 1242 are 2, 3, and 23. The prime factorization of 1242 is: 2 × 32 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1242 is divided by 2 to get 621.
Step 2: Now divide 621 by 3 to get 207.
Step 3: Then divide 207 by 3 to get 69.
Step 4: Divide 69 by 3 to get 23. Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1242 is: 2 × 32 × 23.
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 1242: (1, 1242), (2, 621), (3, 414), (6, 207), (9, 138), (18, 69), (23, 54), (27, 46).
- Negative factor pairs of 1242: (-1, -1242), (-2, -621), (-3, -414), (-6, -207), (-9, -138), (-18, -69), (-23, -54), (-27, -46).
Common Mistakes and How to Avoid Them in Factors of 1242
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 1242, 1 and 1242 are also factors.
Factors of 1242 Examples
Problem 1
There are 6 friends and 1242 candies. How will they divide it equally?
They will get 207 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1242/6 = 207
Problem 2
A field is rectangular, the length of the field is 23 meters, and the total area is 1242 square meters. Find the width.
54 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1242 = 23 × width
To find the value of width, we need to shift 23 to the left side.
1242/23 = width
Width = 54.
Problem 3
There are 9 bags and 1242 marbles. How many marbles will be in each bag?
Each bag will have 138 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags
1242/9 = 138
Problem 4
In a class, there are 1242 students, and 18 groups. How many students are there in each group?
There are 69 students in each group.
Explanation
Dividing the students by the total number of groups, we will get the number of students in each group.
1242/18 = 69
Problem 5
1242 books need to be arranged on 27 shelves. How many books will go on each shelf?
Each of the shelves has 46 books.
Explanation
Divide total books by shelves.
1242/27 = 46
FAQs on Factors of 1242
1.What are the factors of 1242?
2.Mention the prime factors of 1242.
3.Is 1242 a multiple of 9?
4.Mention the factor pairs of 1242.
5.What is the square of 1242?
Important Glossaries for Factor of 1242
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, and 1242.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 23 are prime factors of 1242.
- 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 1242 are (1, 1242), (2, 621), etc.
- Prime factorization: Breaking down a number into the product of its prime factors. For example, 1242 = 2 × 32 × 23.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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.
