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Last updated on May 26th, 2025

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Factors of 833

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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 833, how they are used in real life, and tips to learn them quickly.

Factors of 833 for Indian Students
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What are the Factors of 833?

The numbers that divide 833 evenly are known as factors of 833. A factor of 833 is a number that divides the number without a remainder. The factors of 833 are 1, 7, 119, and 833.

 

Negative factors of 833: -1, -7, -119, and -833.

 

Prime factors of 833: 7 and 119.

 

Prime factorization of 833: 7 × 119.

 

The sum of factors of 833: 1 + 7 + 119 + 833 = 960

 

factors of 833

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How to Find Factors of 833?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  1. Finding factors using multiplication
     
  2. Finding factors using the division method
     
  3. 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 833. Identifying the numbers which are multiplied to get the number 833 is the multiplication method.

 

Step 1: Multiply 833 by 1, 833 × 1 = 833.

 

Step 2: Check for other numbers that give 833 after multiplying 7 × 119 = 833

 

Therefore, the positive factor pairs of 833 are: (1, 833) and (7, 119).

 

All these factor pairs result in 833.

 

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 the simple division method

 

Step 1: Divide 833 by 1, 833 ÷ 1 = 833.

 

Step 2: Continue dividing 833 by the numbers until the remainder becomes 0.

 

833 ÷ 1 = 833

 

833 ÷ 7 = 119

 

Therefore, the factors of 833 are: 1, 7, 119, 833.

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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 833 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

833 ÷ 7 = 119

 

119 ÷ 119 = 1

 

The prime factors of 833 are 7 and 119.

 

The prime factorization of 833 is: 7 × 119.

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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, 833 is divided by 7 to get 119.

 

Step 2: Now divide 119 by 119 to get 1. So, the prime factorization of 833 is: 7 × 119.

 

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 833: (1, 833) and (7, 119).

 

  • Negative factor pairs of 833: (-1, -833) and (-7, -119).
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Common Mistakes and How to Avoid Them in Factors of 833

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 833, 1 and 833 are also factors.

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Factors of 833 Examples

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Problem 1

There are 7 teams and 833 players. How will they divide equally?

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They will get 119 players each.

Explanation

To divide the players equally, we need to divide the total players with the number of teams.

 

833/7 = 119

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Problem 2

A poster wall is rectangular, the length of the wall is 7 meters, and the total area is 833 square meters. Find the width?

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119 meters.

Explanation

To find the width of the wall, we use the formula,

 

Area = length × width

 

833 = 7 × width

 

To find the value of width, we need to shift 7 to the left side.

 

833/7 = width

 

Width = 119.

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Problem 3

There are 119 crates and 833 apples. How many apples will be in each crate?

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Each crate will have 7 apples.

Explanation

To find the apples in each crate, divide the total apples with the crates.

 

833/119 = 7

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Problem 4

In a class, there are 833 students, and 119 groups. How many students are there in each group?

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There are 7 students in each group.

Explanation

Dividing the students with the total groups, we will get the number of students in each group.

 

833/119 = 7

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Problem 5

833 chairs need to be arranged in 7 rows. How many chairs will go in each row?

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Each of the rows has 119 chairs.

Explanation

Divide total chairs by rows.

 

833/7 = 119

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FAQs on Factors of 833

1.What are the factors of 833?

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2.Mention the prime factors of 833.

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3.Is 833, a multiple of 7?

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4.Mention the factor pairs of 833?

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5.What is the square of 833?

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6.How can children in India use numbers in everyday life to understand Factors of 833?

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7.What are some fun ways kids in India can practice Factors of 833 with numbers?

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8.What role do numbers and Factors of 833 play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve Factors of 833 skills?

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Important Glossaries for Factors of 833

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 833 are 1, 7, 119, and 833.

 

  • Prime factors: The factors which are prime numbers. For example, 7 is a prime factor of 833.

 

  • 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 833 are (1, 833) and (7, 119).

 

  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 833 is 7 × 119.

 

  • Divisibility: A number is divisible by another if it divides evenly without a remainder. For example, 833 is divisible by 7.
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About BrightChamps in India

At BrightChamps, numbers mean more than just digits—they open pathways to endless opportunities! We’re here to help children all over India grasp crucial math skills, focusing on today’s Factors of 833 with a special look at factors—in a way that’s enjoyable, simple, and interactive. Whether your child is calculating the speed of a train passing by, following scores in a cricket match, or managing their pocket money for new gadgets, knowing numbers helps build their confidence in daily life. Our hands-on lessons keep learning fun and easy. Since kids in India learn in many ways, we customize lessons to fit each learner. From Mumbai’s lively markets to Delhi’s vibrant streets, BrightChamps makes math meaningful and exciting all across India. Let’s turn factors into a fun part of every child’s math story!
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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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