106 LearnersLast updated on May 26th, 2025
Factors of 1243
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1243, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1243?
The numbers that divide 1243 evenly are known as factors of 1243. A factor of 1243 is a number that divides the number without remainder. The factors of 1243 are 1, 1243.
Negative factors of 1243: -1, -1243.
Since 1243 is a prime number, it has no other factors besides 1 and itself. The sum of factors of 1243: 1 + 1243 = 1244
How to Find Factors of 1243?
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using the division method
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1243. Since 1243 is a prime number, there are no pairs of numbers other than 1 and 1243 that can be multiplied to give 1243. Therefore, the only multiplication factor pair is (1, 1243).
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 the following simple division method -
Step 1: Divide 1243 by 1, 1243 ÷ 1 = 1243.
Step 2: As 1243 is a prime number, no other whole number divides it evenly except 1243 itself. Therefore, the factors of 1243 are: 1, 1243.
Prime Factors and Prime Factorization
Since 1243 is a prime number, its only prime factor is itself, 1243. The prime factorization of 1243 is just 1243, as it cannot be broken down into other prime numbers.
Factor Tree
Since 1243 is a prime number, a factor tree is not applicable, as it cannot be broken down further into prime factors. The prime factorization of 1243 is itself: 1243.
Common Mistakes and How to Avoid Them in Factors of 1243
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 1243, 1 and 1243 are also factors.
Factors of 1243 Examples
Problem 1
A group has 1243 apples to be divided among 7 people. How many apples will each person get?
Since 1243 is a prime number, it cannot be evenly divided by 7 without a remainder.
Explanation
To divide the apples equally, divide the total apples by the number of people: 1243 ÷ 7 = 177 with a remainder.
Problem 2
A rectangular garden has a length of 1 meter and an area of 1243 square meters. What is the width?
1243 meters.
Explanation
To find the width of the garden, use the formula,
Area = length × width
1243 = 1 × width
Width = 1243.
Problem 3
There are 1243 pages in a book, to be divided into 5 sections. Can each section have an equal number of pages?
No, because 1243 is a prime number and cannot be evenly divided into 5 sections.
Explanation
To check, divide the total pages by sections:
1243 ÷ 5 = 248 with a remainder.
Problem 4
A team has 1243 points, and they need to be equally split among 3 players. Can it be done?
No, it cannot be done as 1243 is a prime number.
Explanation
Dividing the points by the total players,
1243 ÷ 3 = 414 with a remainder.
Problem 5
A library has 1243 books to arrange on shelves. If each shelf holds 4 books, how many shelves are needed?
311 full shelves and 1 book on an additional shelf.
Explanation
Divide total books by books per shelf: 1243 ÷ 4 = 310 with 3 books remaining for an additional shelf.
FAQs on Factors of 1243
1.What are the factors of 1243?
2.Mention the prime factors of 1243.
3.Can 1243 be divided by any number other than 1 and itself?
4.Is 1243 a composite number?
5.What is the square of 1243?
Important Glossaries for Factors of 1243
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1243 are 1 and 1243.
- Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 1243.
- Prime factorization: The expression of a number as the product of prime numbers. For 1243, it is simply 1243 itself since it is a prime.
- Division method: A technique to find factors by dividing the number by integers and checking for a zero remainder.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For 1243, the factor pair is (1, 1243).
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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.
