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Last updated on May 26th, 2025

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Factors of 791

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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.

Factors of 791 for Indonesian Students
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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

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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
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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.

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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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 791 Examples

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Problem 1

There are 791 pieces of candy and 61 children. How will they divide it equally?

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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

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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?

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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.

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Max, the Girl Character from BrightChamps

Problem 3

There are 791 books and 13 shelves. How many books will be on each shelf?

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Each shelf will have 61 books.

Explanation

To find the books on each shelf, divide the total books by the shelves.

791/13 = 61

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Max, the Girl Character from BrightChamps

Problem 4

In a class, there are 791 students, and 61 groups. How many students are there in each group?

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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

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Max, the Girl Character from BrightChamps

Problem 5

791 apples need to be packed in 61 boxes. How many apples will go in each box?

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Each box will have 13 apples.

Explanation

Divide the total apples by the boxes.

791/61 = 13

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FAQs on Factors of 791

1.What are the factors of 791?

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2.Mention the prime factors of 791.

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3.Is 791 a multiple of 13?

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4.Mention the factor pairs of 791?

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5.What is the square of 791?

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6.How can children in Indonesia use numbers in everyday life to understand Factors of 791?

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7.What are some fun ways kids in Indonesia can practice Factors of 791 with numbers?

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8.What role do numbers and Factors of 791 play in helping children in Indonesia develop problem-solving skills?

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9.How can families in Indonesia create number-rich environments to improve Factors of 791 skills?

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Professor Greenline from BrightChamps

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.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, numbers are more than just digits—they’re gateways to many opportunities! We strive to help children across Indonesia master vital math skills, focusing today on Factors of 791 with special attention to factors—in a fun, clear, and engaging way. Whether your child is calculating the speed of a ride at Dunia Fantasi, tracking scores at badminton matches, or managing their allowance for gadgets, solid number skills give them confidence in daily life. Our hands-on lessons make learning both fun and straightforward. Since kids in Indonesia learn in varied ways, we adapt our teaching to each child’s needs. From Jakarta’s busy streets to Bali’s beautiful beaches, BrightChamps brings math to life throughout Indonesia. Let’s make factors an enjoyable part of every child’s math adventure!
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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.

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Fun Fact

: She loves to read number jokes and games.

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