115 LearnersLast updated on May 26th, 2025
Factors of 793
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 793, how they are used in real life, and tips to learn them quickly.
What are the Factors of 793?
The numbers that divide 793 evenly are known as factors of 793.
A factor of 793 is a number that divides the number without remainder.
The factors of 793 are 1 and 793.
Negative factors of 793: -1 and -793.
Prime factors of 793: 13 and 61.
Prime factorization of 793: 13 × 61.
The sum of factors of 793: 1 + 793 = 794
How to Find Factors of 793?
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 793. Identifying the numbers which are multiplied to get the number 793 is the multiplication method.
Step 1: Multiply 793 by 1, 793 × 1 = 793.
Since 793 is a product of two prime numbers, the factor pairs of 793 are limited to its prime constituents.
Therefore, the positive factor pairs of 793 are: (1, 793).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 simple division method
Step 1: Divide 793 by 1, 793 ÷ 1 = 793.
Since 793 is a product of two prime numbers, it cannot be divided further by any other number except itself and 1.
Therefore, the factors of 793 are: 1 and 793.
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 793 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
793 ÷ 13 = 61
61 ÷ 61 = 1
The prime factors of 793 are 13 and 61.
The prime factorization of 793 is: 13 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, divide 793 by 13 to get 61.
Step 2: Now divide 61 by 61 to get 1. Here, both 13 and 61 are prime numbers and cannot be divided further. So, the prime factorization of 793 is: 13 × 61.
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 793: (1, 793).
Negative factor pairs of 793: (-1, -793).
Common Mistakes and How to Avoid Them in Factors of 793
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
People 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 793, 1 and 793 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 793 consist of -1 and -793.
Mistake 3
Including the Fraction
Sometimes fractions are mistakenly added as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 793/1.5 = 528.666, which is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 793 are prime numbers.
For example, 13 and 61 are the prime factors of 793, but it still includes 1 and 793 as factors.
Mistake 5
Mistake in Factorization
Errors can occur if steps in factorization are skipped, leading to incorrect factors.
For example, not breaking 793 into 13 × 61 can result in missing key factors.
Factors of 793 Examples
Problem 1
There are 793 apples to be packed equally into boxes. If each box can hold 61 apples, how many boxes are needed?
13 boxes are needed.
Explanation
To find how many boxes are needed, divide the total apples by the number of apples each box holds.
793/61 = 13
Problem 2
A rectangular garden has an area of 793 square meters. If the length of the garden is 13 meters, what is the width?
61 meters.
Explanation
To find the width of the garden, use the formula, Area = length × width
793 = 13 × width
To find the value of width, divide 793 by 13.
793/13 = width
Width = 61.
Problem 3
There are 19 teams with 793 members in total. How many members will be in each team if they are distributed equally?
This distribution can't be done equally, as 793 is not divisible by 19.
Explanation
To determine if members can be distributed equally, divide the total members by the number of teams.
793/19 ≈ 41.7368, which is not a whole number.
Problem 4
In a class project, there are 793 pages to be printed. Each student can print 793 pages. How many students are needed?
1 student is needed.
Explanation
To find the number of students needed, divide the total pages by the number of pages each student can print.
793/793 = 1
Problem 5
A book club has 793 books to distribute among its members. If each member receives 793 books, how many members are there?
1 member.
Explanation
Divide the total number of books by the number of books each member receives.
793/793 = 1
FAQs on Factors of 793
1.What are the factors of 793?
2.Mention the prime factors of 793.
3.Is 793 a multiple of 13?
4.Mention the factor pairs of 793?
5.What is the square of 793?
6.How can children in Thailand use numbers in everyday life to understand Factors of 793?
7.What are some fun ways kids in Thailand can practice Factors of 793 with numbers?
8.What role do numbers and Factors of 793 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 793 skills?
Important Glossaries for Factors of 793
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 793 are 1 and 793.
- Prime factors: The factors that are prime numbers. For example, 13 and 61 are prime factors of 793.
- 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 793 are (1, 793).
- Prime factorization: The expression of a number as the product of its prime factors. For example, 793 = 13 × 61.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 793 is a multiple of 13.
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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.
