Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To find how many boxes are needed, divide the total apples by the number of apples each box holds.
793/61 = 13
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.
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.
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.
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.
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.
To find the number of students needed, divide the total pages by the number of pages each student can print.
793/793 = 1
A book club has 793 books to distribute among its members. If each member receives 793 books, how many members are there?
1 member.
Divide the total number of books by the number of books each member receives.
793/793 = 1
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.
: She loves to read number jokes and games.