101 LearnersLast updated on May 26th, 2025
Factors of 1981
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 1981, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1981?
The numbers that divide 1981 evenly are known as factors of 1981.
A factor of 1981 is a number that divides the number without remainder.
The factors of 1981 are 1, 37, 53, and 1981.
Negative factors of 1981: -1, -37, -53, and -1981.
Prime factors of 1981: 37 and 53.
Prime factorization of 1981: 37 × 53.
The sum of factors of 1981: 1 + 37 + 53 + 1981 = 2072
How to Find Factors of 1981?
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 the pairs of numbers that are multiplied to give 1981. Identifying the numbers which are multiplied to get the number 1981 is the multiplication method.
Step 1: Multiply 1981 by 1, 1981 × 1 = 1981.
Step 2: Check for other numbers that give 1981 after multiplying 37 × 53 = 1981
Therefore, the positive factor pairs of 1981 are: (1, 1981) and (37, 53).
All these factor pairs result in 1981.
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 1981 by 1, 1981 ÷ 1 = 1981.
Step 2: Continue dividing 1981 by the numbers until the remainder becomes 0.
1981 ÷ 1 = 1981
1981 ÷ 37 = 53
1981 ÷ 53 = 37
Therefore, the factors of 1981 are: 1, 37, 53, and 1981.
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 1981 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1981 ÷ 37 = 53
53 ÷ 53 = 1
The prime factors of 1981 are 37 and 53.
The prime factorization of 1981 is: 37 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1981 is divided by 37 to get 53.
Step 2: Now divide 53 by 53 to get 1. Here, 53 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1981 is: 37 × 53.
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 1981: (1, 1981) and (37, 53).
Negative factor pairs of 1981: (-1, -1981) and (-37, -53).
Common Mistakes and How to Avoid Them in Factors of 1981
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 1981, 1 and 1981 are also factors.
Factors of 1981 Examples
Problem 1
There are 1981 apples to be packed into boxes. If each box can hold 37 apples, how many boxes are needed?
53 boxes are needed.
Explanation
To find the total number of boxes, divide the total apples by the number each box can hold.
1981/37 = 53
Problem 2
A rectangular garden has an area of 1981 square meters, and one of the dimensions is 37 meters. What is the other dimension?
53 meters.
Explanation
To find the other dimension of the garden, use the formula,
Area = length × width
1981 = 37 × width
To find the value of width, shift 37 to the left side.
1981/37 = width
Width = 53.
Problem 3
A school has 1981 students and wants to divide them into groups with 53 students each. How many groups will there be?
There will be 37 groups.
Explanation
To find the number of groups, divide the total students by the number of students per group.
1981/53 = 37
Problem 4
There are 1981 books to be arranged on shelves. If each shelf can hold 1 book, how many shelves are needed?
1981 shelves are needed.
Explanation
Each shelf holds 1 book, so dividing the total number of books by the capacity of each shelf gives the number of shelves needed.
1981/1 = 1981
Problem 5
A concert hall has 1981 seats arranged in 37 rows. How many seats are in each row?
Each row has 53 seats.
Explanation
Divide the total number of seats by the number of rows to find the seats per row.
1981/37 = 53
FAQs on Factors of 1981
1.What are the factors of 1981?
2.Mention the prime factors of 1981.
3.Is 1981 a multiple of 37?
4.Mention the factor pairs of 1981?
5.What is the square of 1981?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1981?
7.What are some fun ways kids in Thailand can practice Factors of 1981 with numbers?
8.What role do numbers and Factors of 1981 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1981 skills?
Important Glossaries for Factor of 1981
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1981 are 1, 37, 53, and 1981.
- Prime factors: The factors which are prime numbers. For example, 37 and 53 are prime factors of 1981.
- 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 1981 are (1, 1981) and (37, 53).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1981 is 37 × 53.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number. For example, 37 × 53 = 1981.
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About BrightChamps in Thailand
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.
