100 LearnersLast updated on June 2nd, 2025
Factors of 3942
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 3942, how they are used in real life, and tips to learn them quickly.
What are the Factors of 3942?
The numbers that divide 3942 evenly are known as factors of 3942.
A factor of 3942 is a number that divides the number without remainder.
The factors of 3942 are 1, 2, 3, 6, 9, 18, 219, 438, 657, 1314, 1971, and 3942.
Negative factors of 3942: -1, -2, -3, -6, -9, -18, -219, -438, -657, -1314, -1971, and -3942.
Prime factors of 3942: 2, 3, and 219.
Prime factorization of 3942: 2 × 32 × 219.
The sum of factors of 3942: 1 + 2 + 3 + 6 + 9 + 18 + 219 + 438 + 657 + 1314 + 1971 + 3942 = 8580
How to Find Factors of 3942?
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 pairs of numbers that multiply to give 3942. Identifying the numbers which are multiplied to get the number 3942 is the multiplication method.
Step 1: Multiply 3942 by 1, 3942 × 1 = 3942.
Step 2: Check for other numbers that give 3942 after multiplying
2 × 1971 = 3942
3 × 1314 = 3942
6 × 657 = 3942
9 × 438 = 3942
18 × 219 = 3942
Therefore, the positive factor pairs of 3942 are: (1, 3942), (2, 1971), (3, 1314), (6, 657), (9, 438), (18, 219).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 3942 by 1, 3942 ÷ 1 = 3942.
Step 2: Continue dividing 3942 by numbers until the remainder becomes 0.
3942 ÷ 1 = 3942
3942 ÷ 2 = 1971
3942 ÷ 3 = 1314
3942 ÷ 6 = 657
3942 ÷ 9 = 438
3942 ÷ 18 = 219
Therefore, the factors of 3942 are: 1, 2, 3, 6, 9, 18, 219, 438, 657, 1314, 1971, 3942.
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 3942 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3942 ÷ 2 = 1971
1971 ÷ 3 = 657
657 ÷ 3 = 219
219 is already a prime number.
The prime factors of 3942 are 2, 3, and 219.
The prime factorization of 3942 is: 2 × 3^2 × 219.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 3942 is divided by 2 to get 1971.
Step 2: Divide 1971 by 3 to get 657.
Step 3: Divide 657 by 3 to get 219. 219 cannot be divided anymore as it is prime. So, the prime factorization of 3942 is: 2 × 32 × 219.
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 3942: (1, 3942), (2, 1971), (3, 1314), (6, 657), (9, 438), and (18, 219).
Negative factor pairs of 3942: (-1, -3942), (-2, -1971), (-3, -1314), (-6, -657), (-9, -438), and (-18, -219).
Common Mistakes and How to Avoid Them in Factors of 3942
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 3942, 1 and 3942 is also a factor.
Factors of 3942 Examples
Problem 1
There are 3942 apples and 18 crates. How will they divide it equally?
Each crate will have 219 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of crates.
3942/18 = 219
Problem 2
A banner is 3942 square inches in area, and one side is 657 inches long. Find the length of the other side.
6 inches.
Explanation
To find the length of the other side, we use the formula, Area = length × width
3942 = 657 × width
To find the value of width, we need to shift 657 to the left side.
3942/657 = width
Width = 6.
Problem 3
There are 219 boxes and 3942 candies. How many candies will be in each box?
Each box will have 18 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
3942/219 = 18
Problem 4
In a class, there are 3942 students, and 9 groups. How many students are there in each group?
There are 438 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
3942/9 = 438
Problem 5
3942 books need to be arranged in 438 shelves. How many books will go on each shelf?
Each of the shelves has 9 books.
Explanation
Divide total books by shelves. 3942/438 = 9
FAQs on Factors of 3942
1.What are the factors of 3942?
2.Mention the prime factors of 3942.
3.Is 3942 a multiple of 18?
4.Mention the factor pairs of 3942?
5.What is the square of 3942?
6.How can children in United States use numbers in everyday life to understand Factors of 3942?
7.What are some fun ways kids in United States can practice Factors of 3942 with numbers?
8.What role do numbers and Factors of 3942 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 3942 skills?
Important Glossaries for Factor of 3942
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3942 are 1, 2, 3, 6, 9, 18, 219, 438, 657, 1314, 1971, and 3942.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 219 are prime factors of 3942.
- 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 3942 are (1, 3942), (2, 1971), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, 2 × 32 × 219 is the prime factorization of 3942.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, for 3942, (1, 3942), (2, 1971) are factor pairs.
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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.
