Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 10 teams and 1940 points. How will they distribute them equally?
They will get 194 points each.
To distribute the points equally, we need to divide the total points by the number of teams.
1940/10 = 194
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.
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.
There are 194 bags and 1940 candies. How many candies will be in each bag?
Each bag will have 10 candies.
To find the candies in each bag, divide the total candies by the bags.
1940/194 = 10
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.
Dividing the students by the total groups, we will get the number of students in each group.
1940/485 = 4
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.
Divide total books by shelves.
1940/97 = 20
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.
: She loves to read number jokes and games.