124 LearnersLast updated on May 26th, 2025
Factors of 1940
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 1940, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1940?
The numbers that divide 1940 evenly are known as factors of 1940.
A factor of 1940 is a number that divides the number without remainder.
The factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, and 1940.
Negative factors of 1940: -1, -2, -4, -5, -10, -20, -97, -194, -388, -485, -970, and -1940.
Prime factors of 1940: 2, 5, and 97.
Prime factorization of 1940: 22 × 5 × 97.
The sum of factors of 1940: 1 + 2 + 4 + 5 + 10 + 20 + 97 + 194 + 388 + 485 + 970 + 1940 = 4116
How to Find Factors of 1940?
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 are multiplied to give 1940. Identifying the numbers which are multiplied to get the number 1940 is the multiplication method.
Step 1: Multiply 1940 by 1, 1940 × 1 = 1940.
Step 2: Check for other numbers that give 1940 after multiplying:
2 × 970 = 1940
4 × 485 = 1940
5 × 388 = 1940
10 × 194 = 1940
20 × 97 = 1940
Therefore, the positive factor pairs of 1940 are: (1, 1940), (2, 970), (4, 485), (5, 388), (10, 194), and (20, 97).
Each positive factor has a corresponding negative factor pair.
Finding Factors Using Division Method
Dividing the given numbers 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 1940 by 1, 1940 ÷ 1 = 1940.
Step 2: Continue dividing 1940 by the numbers until the remainder becomes 0.
1940 ÷ 1 = 1940
1940 ÷ 2 = 970
1940 ÷ 4 = 485
1940 ÷ 5 = 388
1940 ÷ 10 = 194
1940 ÷ 20 = 97
Therefore, the factors of 1940 are: 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940.
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 1940 divide the number to break it down into the multiplication form of prime factors until the remainder becomes 1.
1940 ÷ 2 = 970
970 ÷ 2 = 485
485 ÷ 5 = 97
97 ÷ 97 = 1
The prime factors of 1940 are 2, 5, and 97.
The prime factorization of 1940 is: 22 × 5 × 97.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1940 is divided by 2 to get 970.
Step 2: Now divide 970 by 2 to get 485.
Step 3: Then divide 485 by 5 to get 97. Here, 97 is a prime number, that cannot be divided further. So, the prime factorization of 1940 is: 22 × 5 × 97.
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 1940: (1, 1940), (2, 970), (4, 485), (5, 388), (10, 194), and (20, 97).
Negative factor pairs of 1940: (-1, -1940), (-2, -970), (-4, -485), (-5, -388), (-10, -194), and (-20, -97).
Common Mistakes and How to Avoid Them in Factors of 1940
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 1940, 1 and 1940 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1940 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1940/1.5 = 1293.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1940 are prime numbers.
For example, 2, 5, and 97 are the prime factors of 1940, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1940 as 22 × 5 × 97 and missing all the key factors.
Factors of 1940 Examples
Problem 1
There are 10 teams and 1940 points. How will they distribute them equally?
They will get 194 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1940/10 = 194
Problem 2
A garden is rectangular, the length of the garden is 97 meters and the total area is 1940 square meters. Find the width?
20 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1940 = 97 × width
To find the width, divide the area by the length.
1940/97 = width
Width = 20.
Problem 3
There are 194 bags and 1940 candies. How many candies will be in each bag?
Each bag will have 10 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
1940/194 = 10
Problem 4
In a class, there are 1940 students, and 485 groups. How many students are there in each group?
There are 4 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1940/485 = 4
Problem 5
1940 books need to be arranged in 97 shelves. How many books will go on each shelf?
Each of the shelves will have 20 books.
Explanation
Divide total books by shelves.
1940/97 = 20
FAQs on Factors of 1940
1.What are the factors of 1940?
2.Mention the prime factors of 1940.
3.Is 1940 a multiple of 5?
4.Mention the factor pairs of 1940?
5.What is the square of 1940?
6.How can children in Canada use numbers in everyday life to understand Factors of 1940?
7.What are some fun ways kids in Canada can practice Factors of 1940 with numbers?
8.What role do numbers and Factors of 1940 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1940 skills?
Important Glossaries for Factors of 1940
- Factors: Numbers that divide the given number without leaving a remainder. For example, the factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, and 1940.
- Prime factors: The factors that are prime numbers. For example, 2, 5, and 97 are prime factors of 1940.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pairs of 1940 are (1, 1940), (2, 970), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1940 is 22 × 5 × 97.
- Multiple: A number that can be divided by another number without a remainder. For example, 1940 is a multiple of 5.
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About BrightChamps in Canada
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.
