100 LearnersLast updated on May 26th, 2025
Factors of 1093
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 1093, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1093?
The numbers that divide 1093 evenly are known as factors of 1093.
A factor of 1093 is a number that divides the number without remainder.
The factors of 1093 are 1 and 1093.
Negative factors of 1093: -1 and -1093.
Prime factors of 1093: 1093 itself, as it is a prime number.
Prime factorization of 1093: 1093 (since it's a prime number).
The sum of factors of 1093: 1 + 1093 = 1094
How to Find Factors of 1093?
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 identify pairs of numbers that multiply to give 1093.
However, since 1093 is a prime number, the only multiplication pair is: 1 × 1093 = 1093
Therefore, the positive factor pair of 1093 is (1, 1093).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Divide the given number by whole numbers until the remainder becomes zero, and list out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1093 by 1, 1093 ÷ 1 = 1093.
Step 2: Since 1093 is a prime number, it cannot be divided evenly by any other number except itself and 1.
Therefore, the factors of 1093 are: 1 and 1093.
Prime Factors and Prime Factorization
Factors can be found by dividing the number with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: Since 1093 is a prime number, it is only divisible by itself and 1.
The prime factor of 1093 is 1093 itself.
The prime factorization of 1093 is: 1093.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors.
However, for 1093, since it's a prime number, it cannot be broken down further.
The prime factorization of 1093 is: 1093.
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 pair of 1093: (1, 1093). Negative factor pair of 1093: (-1, -1093).
Common Mistakes and How to Avoid Them in Factors of 1093
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 1093, 1 and 1093 are also factors.
Factors of 1093 Examples
Problem 1
There are 1093 marbles, and each bag can carry 1 marble. How many bags are needed?
1093 bags are needed.
Explanation
To determine the number of bags needed, divide the total marbles by the capacity of each bag.
1093/1 = 1093
Problem 2
A ticket booth sells 1093 tickets, each priced at $1. How much revenue does the booth generate?
$1093.
Explanation
To find the total revenue, multiply the number of tickets by the price per ticket.
1093 × 1 = $1093
Problem 3
An auditorium has 1093 seats. If each person occupies one seat, how many people can the auditorium accommodate?
1093 people.
Explanation
The number of people the auditorium can accommodate equals the number of seats.
1093/1 = 1093
Problem 4
A company produces 1093 units of a product, each packed in a single box. How many boxes are required?
1093 boxes.
Explanation
The number of boxes required is equal to the number of units produced.
1093/1 = 1093
Problem 5
A library has 1093 books, each book placed on a separate shelf. How many shelves are needed?
1093 shelves.
Explanation
The number of shelves needed is equal to the number of books.
1093/1 = 1093
FAQs on Factors of 1093
1.What are the factors of 1093?
2.Mention the prime factors of 1093.
3.Is 1093 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 1093?
5.What is the square of 1093?
6.How can children in India use numbers in everyday life to understand Factors of 1093?
7.What are some fun ways kids in India can practice Factors of 1093 with numbers?
8.What role do numbers and Factors of 1093 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1093 skills?
Important Glossaries for Factor of 1093
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1093 are 1 and 1093.
- Prime factors: The factors which are prime numbers. For 1093, the prime factor is 1093 itself.
- 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 1093 is (1, 1093).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1093 is a prime number.
- Multiplication: The process of finding the total number of items in a given number of groups. For example, 1 × 1093 = 1093.
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About BrightChamps in India
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.
