109 LearnersLast updated on May 26th, 2025
Factors of 833
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.
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
How to Find Factors of 833?
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 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.
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.
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.
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).
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
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 833, 1 and 833 are also factors.
Factors of 833 Examples
Problem 1
There are 7 teams and 833 players. How will they divide equally?
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
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?
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.
Problem 3
There are 119 crates and 833 apples. How many apples will be in each crate?
Each crate will have 7 apples.
Explanation
To find the apples in each crate, divide the total apples with the crates.
833/119 = 7
Problem 4
In a class, there are 833 students, and 119 groups. How many students are there in each group?
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
Problem 5
833 chairs need to be arranged in 7 rows. How many chairs will go in each row?
Each of the rows has 119 chairs.
Explanation
Divide total chairs by rows.
833/7 = 119
FAQs on Factors of 833
1.What are the factors of 833?
2.Mention the prime factors of 833.
3.Is 833, a multiple of 7?
4.Mention the factor pairs of 833?
5.What is the square of 833?
6.How can children in India use numbers in everyday life to understand Factors of 833?
7.What are some fun ways kids in India can practice Factors of 833 with numbers?
8.What role do numbers and Factors of 833 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 833 skills?
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
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.
