125 LearnersLast updated on May 26th, 2025
Factors of 1943
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 1943, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1943?
The numbers that divide 1943 evenly are known as factors of 1943.
A factor of 1943 is a number that divides the number without remainder.
The factors of 1943 are 1, 1943.
Negative factors of 1943: -1, -1943.
Prime factors of 1943: 1943 (since 1943 is a prime number).
Prime factorization of 1943: 1943 × 1.
The sum of factors of 1943: 1 + 1943 = 1944
How to Find Factors of 1943?
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 1943. Identifying the numbers which are multiplied to get the number 1943 is the multiplication method.
Step 1: Multiply 1943 by 1, 1943 × 1 = 1943.
Step 2: Check for other numbers that give 1943 after multiplying.
Since 1943 is a prime number, the only multiplication pair is: 1943 × 1 = 1943.
Therefore, the positive factor pair of 1943 is: (1, 1943).
For every positive factor, there is a negative factor as well.
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 the simple division method
Step 1: Divide 1943 by 1, 1943 ÷ 1 = 1943.
Step 2: Continue dividing 1943 by the numbers until the remainder becomes 0.
1943 ÷ 1 = 1943
1943 ÷ 1943 = 1
Therefore, the factors of 1943 are: 1, 1943.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1943 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. Since 1943 is a prime number, it cannot be broken down further.
The prime factor of 1943 is 1943.
The prime factorization of 1943 is: 1943 × 1.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1943 is a prime number, it only has itself and 1 as factors, and thus its prime factorization cannot be broken down further. So, the prime factorization of 1943 is: 1943 × 1.
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 1943: (1, 1943).
Negative factor pairs of 1943: (-1, -1943).
Common Mistakes and How to Avoid Them in Factors of 1943
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 1943, 1 and 1943 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1943 include -1 and -1943.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1943/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not just primes.
For example, thinking all the factors of 1943 are prime numbers. Since 1943 is a prime number itself, it only has 1 and 1943 as factors.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not recognizing that 1943 is a prime number and missing its significance.
Factors of 1943 Examples
Problem 1
There are 1943 books and they need to be arranged in 1 shelf. How many books will go on each shelf?
All 1943 books will go on the shelf.
Explanation
To arrange the books equally, we place all 1943 books on the single shelf.
1943/1 = 1943
Problem 2
A rectangular field has a length of 1 meter and a total area of 1943 square meters. Find the width.
1943 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1943 = 1 × width
To find the value of width, we solve the equation.
1943/1 = width
Width = 1943.
Problem 3
There are 1943 sweets and only 1 person to eat them. How many sweets does the person get?
The person gets 1943 sweets.
Explanation
To find the sweets the person gets, divide the total sweets by the number of people.
1943/1 = 1943
Problem 4
A classroom has 1943 chairs and needs to be arranged in a single row. How many chairs will be in each row?
All 1943 chairs will be in the single row.
Explanation
Arranging all chairs in one row means no chairs are left.
1943/1 = 1943
Problem 5
1943 apples need to be placed in 1 basket. How many apples will go in the basket?
All 1943 apples will go in the basket.
Explanation
Place all apples in the single basket.
1943/1 = 1943
FAQs on Factors of 1943
1.What are the factors of 1943?
2.Mention the prime factors of 1943.
3.Is 1943 a multiple of 1?
4.Mention the factor pairs of 1943?
5.Is 1943 a prime number?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1943?
7.What are some fun ways kids in United Kingdom can practice Factors of 1943 with numbers?
8.What role do numbers and Factors of 1943 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 1943 skills?
Important Glossaries for Factors of 1943
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1943 are 1 and 1943.
- Prime numbers: A number greater than 1 that has no divisors other than 1 and itself. For example, 1943 is a prime number.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1943 is (1, 1943).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1943 is 1943 × 1.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1 and -1943 are negative factors of 1943.
Explore More numbers
About BrightChamps in United Kingdom
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.
