103 LearnersLast updated on May 26th, 2025
Factors of 1938
Factors are the numbers that divide any given number evenly without a 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 1938, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1938?
The numbers that divide 1938 evenly are known as factors of 1938.
A factor of 1938 is a number that divides the number without a remainder.
The factors of 1938 are 1, 2, 3, 6, 17, 34, 57, 102, 323, 646, 969, and 1938.
Negative factors of 1938: -1, -2, -3, -6, -17, -34, -57, -102, -323, -646, -969, and -1938.
Prime factors of 1938: 2, 3, and 17.
Prime factorization of 1938: 2 × 3 × 17 × 19.
The sum of the factors of 1938: 1 + 2 + 3 + 6 + 17 + 34 + 57 + 102 + 323 + 646 + 969 + 1938 = 4098
How to Find Factors of 1938?
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 1938. Identifying the numbers which are multiplied to get the number 1938 is the multiplication method.
Step 1: Multiply 1938 by 1, 1938 × 1 = 1938.
Step 2: Check for other numbers that give 1938 after multiplying
2 × 969 = 1938
3 × 646 = 1938
6 × 323 = 1938
17 × 114 = 1938
Therefore, the positive factor pairs of 1938 are: (1, 1938), (2, 969), (3, 646), (6, 323), (17, 114).
All these factor pairs result in 1938.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1938 by 1, 1938 ÷ 1 = 1938.
Step 2: Continue dividing 1938 by the numbers until the remainder becomes 0.
1938 ÷ 1 = 1938
1938 ÷ 2 = 969
1938 ÷ 3 = 646
1938 ÷ 6 = 323
1938 ÷ 17 = 114
Therefore, the factors of 1938 are: 1, 2, 3, 6, 17, 34, 57, 102, 323, 646, 969, 1938.
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 1938 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1938 ÷ 2 = 969
969 ÷ 3 = 323
323 ÷ 17 = 19
19 ÷ 19 = 1
The prime factors of 1938 are 2, 3, 17, and 19.
The prime factorization of 1938 is: 2 × 3 × 17 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1938 is divided by 2 to get 969.
Step 2: Now divide 969 by 3 to get 323. Step 3: Then divide 323 by 17 to get 19. Here, 19 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1938 is: 2 × 3 × 17 × 19.
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 1938: (1, 1938), (2, 969), (3, 646), (6, 323), and (17, 114).
Negative factor pairs of 1938: (-1, -1938), (-2, -969), (-3, -646), (-6, -323), and (-17, -114).
Common Mistakes and How to Avoid Them in Factors of 1938
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 1938, 1 and 1938 are also factors.
Factors of 1938 Examples
Problem 1
There are 6 teams and 1938 participants. How will they be divided equally among the teams?
Each team will have 323 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1938/6 = 323
Problem 2
A garden is rectangular, the length of the garden is 17 meters, and the total area is 1938 square meters. Find the width.
114 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1938 = 17 × width
To find the value of the width, we need to shift 17 to the left side.
1938/17 = width
Width = 114.
Problem 3
There are 969 apples and 3 baskets. How many apples will be in each basket?
Each basket will have 323 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
969/3 = 323
Problem 4
In an auditorium, there are 1938 seats and 2 sections. How many seats are there in each section?
There are 969 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1938/2 = 969
Problem 5
There are 1938 books to be arranged on 17 shelves. How many books will go on each shelf?
Each of the shelves has 114 books.
Explanation
Divide total books by shelves.
1938/17 = 114
FAQs on Factors of 1938
1.What are the factors of 1938?
2.Mention the prime factors of 1938.
3.Is 1938 a multiple of 17?
4.Mention the factor pairs of 1938?
5.What is the square of 1938?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1938?
7.What are some fun ways kids in United Kingdom can practice Factors of 1938 with numbers?
8.What role do numbers and Factors of 1938 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1938 skills?
Important Glossaries for Factors of 1938
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1938 are 1, 2, 3, 6, 17, 34, 57, 102, 323, 646, 969, and 1938.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 17, and 19 are prime factors of 1938.
- 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 1938 are (1, 1938), (2, 969), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1938 is 2 × 3 × 17 × 19.
- Multiplication method: A technique used 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.
