100 LearnersLast updated on May 26th, 2025
Factors of 940
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 940, how they are used in real life, and tips to learn them quickly.
What are the Factors of 940?
The numbers that divide 940 evenly are known as factors of 940.
A factor of 940 is a number that divides the number without a remainder.
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, and 940.
Negative factors of 940: -1, -2, -4, -5, -10, -20, -47, -94, -188, -235, -470, and -940.
Prime factors of 940: 2, 5, and 47.
Prime factorization of 940: 2² × 5 × 47.
The sum of factors of 940: 1 + 2 + 4 + 5 + 10 + 20 + 47 + 94 + 188 + 235 + 470 + 940 = 2016
How to Find Factors of 940?
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 940. Identifying the numbers which are multiplied to get the number 940 is the multiplication method.
Step 1: Multiply 940 by 1, 940 × 1 = 940.
Step 2: Check for other numbers that give 940 after multiplying:
- 2 × 470 = 940
- 4 × 235 = 940
- 5 × 188 = 940
- 10 × 94 = 940
- 20 × 47 = 940
Therefore, the positive factor pairs of 940 are: (1, 940), (2, 470), (4, 235), (5, 188), (10, 94), and (20, 47).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 940 by 1, 940 ÷ 1 = 940.
Step 2: Continue dividing 940 by the numbers until the remainder becomes 0.
940 ÷ 1 = 940
940 ÷ 2 = 470
940 ÷ 4 = 235
940 ÷ 5 = 188
940 ÷ 10 = 94
940 ÷ 20 = 47
Therefore, the factors of 940 are: 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.
Prime Factors and Prime Factorization
The factors can be found by dividing the number by prime numbers. We can find the prime factors using the following methods: -
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 940 divide the number to break it down into the multiplication form of prime factors until the remainder becomes 1.
940 ÷ 2 = 470
470 ÷ 2 = 235
235 ÷ 5 = 47
47 ÷ 47 = 1
The prime factors of 940 are 2, 5, and 47.
The prime factorization of 940 is: 2² × 5 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 940 is divided by 2 to get 470.
Step 2: Now divide 470 by 2 to get 235.
Step 3: Then divide 235 by 5 to get 47. 47 is a prime number and cannot be divided further.
So, the prime factorization of 940 is: 2² × 5 × 47.
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 940: (1, 940), (2, 470), (4, 235), (5, 188), (10, 94), and (20, 47).
Negative factor pairs of 940: (-1, -940), (-2, -470), (-4, -235), (-5, -188), (-10, -94), and (-20, -47).
Common Mistakes and How to Avoid Them in Factors of 940
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 word. Always remember to include 1 and the number itself.
For example, in factors of 940, 1 and 940 are also factors.
Factors of 940 Examples
Problem 1
There are 47 students and 940 pages to distribute. How many pages will each student get?
Each student will get 20 pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
940/47 = 20
Problem 2
A garden is rectangular, the length of the garden is 10 meters, and the total area is 940 square meters. Find the width?
94 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
940 = 10 × width
To find the value of width, we need to shift 10 to the left side.
940/10 = width
Width = 94.
Problem 3
There are 4 tables and 940 chairs. How many chairs will be at each table?
Each table will have 235 chairs.
Explanation
To find the chairs at each table, divide the total chairs by the tables.
940/4 = 235
Problem 4
In a factory, there are 188 workers, and 5 sections. How many workers are there in each section?
There are 37 workers in each section.
Explanation
Dividing the workers by the total sections, we will get the number of workers in each section.
188/5 = 37.6 (rounded down to 37 for whole workers)
Problem 5
A library has 940 books to be arranged in 10 sections. How many books will go in each section?
Each section will have 94 books.
Explanation
Divide the total books by the sections.
940/10 = 94
FAQs on Factors of 940
1.What are the factors of 940?
2.Mention the prime factors of 940.
3.Is 940 a multiple of 4?
4.Mention the factor pairs of 940?
5.What is the square of 940?
Important Glossaries for Factor of 940
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, and 940.
- Prime Factors: The factors which are prime numbers. For example, 2, 5, and 47 are prime factors of 940.
- Prime Factorization: Breaking down a number into its prime numbers. For example, 940 can be broken down into 2² × 5 × 47.
- 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 940 are (1, 940), (2, 470), etc.
- Multiplication Method: A way to find factor pairs by multiplying numbers to achieve the target number. For example, 2 × 470 = 940.
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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.
