124 LearnersLast updated on May 26th, 2025
Factors of 791
Factors are the numbers that divide any given number evenly without a 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 791, how they are used in real life, and tips to learn them quickly.
What are the Factors of 791?
The numbers that divide 791 evenly are known as factors of 791.
A factor of 791 is a number that divides the number without remainder.
The factors of 791 are 1, 13, 61, and 791.
Negative factors of 791: -1, -13, -61, and -791.
Prime factors of 791: 13 and 61.
Prime factorization of 791: 13 × 61.
The sum of factors of 791: 1 + 13 + 61 + 791 = 866
How to Find Factors of 791?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 791. Identifying the numbers which are multiplied to get the number 791 is the multiplication method.
Step 1: Multiply 791 by 1, 791 × 1 = 791.
Step 2: Check for other numbers that give 791 after multiplying 13 × 61 = 791
Therefore, the positive factor pairs of 791 are: (1, 791) and (13, 61).
All these factor pairs result in 791.
For every positive factor, there is a negative factor.
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 a simple division method
Step 1: Divide 791 by 1, 791 ÷ 1 = 791.
Step 2: Continue dividing 791 by the numbers until the remainder becomes 0.
791 ÷ 1 = 791
791 ÷ 13 = 61
Therefore, the factors of 791 are: 1, 13, 61, 791.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 791 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
791 ÷ 13 = 61
61 ÷ 61 = 1
The prime factors of 791 are 13 and 61.
The prime factorization of 791 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, 791 is divided by 13 to get 61.
Step 2: Divide 61 by 61 to get 1. Here, 61 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 791 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 791: (1, 791) and (13, 61).
Negative factor pairs of 791: (-1, -791) and (-13, -61).
Common Mistakes and How to Avoid Them in Factors of 791
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 791, 1 and 791 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 791 consist of -1, -13, -61, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 7.5 as a factor, because 791/7.5 = 105.467, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 791 are prime numbers.
For example, 13 and 61 are the prime factors of 791, but it has other factors like 1 and 791.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 791 as 13 × 61 and missing key factors.
Factors of 791 Examples
Problem 1
There are 791 pieces of candy and 61 children. How will they divide it equally?
They will get 13 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of children.
791/61 = 13
Problem 2
A garden is rectangular, the length of the garden is 13 meters, and the total area is 791 square meters. Find the width?
61 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
791 = 13 × width
To find the value of the width, we need to shift 13 to the left side.
791/13 = width
Width = 61.
Problem 3
There are 791 books and 13 shelves. How many books will be on each shelf?
Each shelf will have 61 books.
Explanation
To find the books on each shelf, divide the total books by the shelves.
791/13 = 61
Problem 4
In a class, there are 791 students, and 61 groups. How many students are there in each group?
There are 13 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
791/61 = 13
Problem 5
791 apples need to be packed in 61 boxes. How many apples will go in each box?
Each box will have 13 apples.
Explanation
Divide the total apples by the boxes.
791/61 = 13
FAQs on Factors of 791
1.What are the factors of 791?
2.Mention the prime factors of 791.
3.Is 791 a multiple of 13?
4.Mention the factor pairs of 791?
5.What is the square of 791?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 791?
7.What are some fun ways kids in Indonesia can practice Factors of 791 with numbers?
8.What role do numbers and Factors of 791 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 791 skills?
Important Glossaries for Factors of 791
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 791 are 1, 13, 61, and 791.
- Prime factors: The factors which are prime numbers. For example, 13 and 61 are prime factors of 791.
- 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 791 are (1, 791) and (13, 61).
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give the original number.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 791 = 13 × 61.
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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.
