132 LearnersLast updated on May 28th, 2025
Factors of 1833
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1833, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1833?
The numbers that divide 1833 evenly are known as factors of 1833.
A factor of 1833 is a number that divides the number without remainder. The factors of 1833 are 1, 3, 611, and 1833.
Negative factors of 1833: -1, -3, -611, and -1833.
Prime factors of 1833: 3 and 611.
Prime factorization of 1833: 3 × 611.
The sum of factors of 1833: 1 + 3 + 611 + 1833 = 2448
How to Find Factors of 1833?
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 1833. Identifying the numbers which are multiplied to get the number 1833 is the multiplication method.
Step 1: Multiply 1833 by 1, 1833 × 1 = 1833.
Step 2: Check for other numbers that give 1833 after multiplying
3 × 611 = 1833
Therefore, the positive factor pairs of 1833 are: (1, 1833), (3, 611).
All these factor pairs result in 1833.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 a simple division method -
Step 1: Divide 1833 by 1, 1833 ÷ 1 = 1833.
Step 2: Continue dividing 1833 by the numbers until the remainder becomes 0.
1833 ÷ 1 = 1833
1833 ÷ 3 = 611
Therefore, the factors of 1833 are: 1, 3, 611, 1833.
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 1833 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1833 ÷ 3 = 611
611 ÷ 611 = 1
The prime factors of 1833 are 3 and 611.
The prime factorization of 1833 is: 3 × 611.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1833 is divided by 3 to get 611.
Here, 611 is a prime number, so it cannot be divided further.
So, the prime factorization of 1833 is: 3 × 611.
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 1833: (1, 1833), (3, 611).
Negative factor pairs of 1833: (-1, -1833), (-3, -611).
Common Mistakes and How to Avoid Them in Factors of 1833
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 1833, 1 and 1833 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 1833 consist of -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1833/1.5 = 1222, 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 1833 are prime numbers. In this case, 3 and 611 are the prime factors of 1833, but it has other factors like 1833 itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1833 as 3 × 611 and missing all the key factors.
Factors of 1833 Examples
Problem 1
There are 3 teams and 1833 points. How will the points be divided equally among the teams?
Each team will get 611 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1833/3 = 611
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1833 square meters. Find the width.
611 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1833 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1833/3 = width
Width = 611.
Problem 3
There are 611 boxes and 1833 items. How many items will be in each box?
Each box will have 3 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1833/611 = 3
Problem 4
In a hall, there are 1833 chairs, and 3 sections. How many chairs are there in each section?
There are 611 chairs in each section.
Explanation
Dividing the chairs by the total sections, we will get the number of chairs in each section.
1833/3 = 611
Problem 5
1833 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 611 books.
Explanation
Divide total books by shelves.
1833/3 = 611
FAQs on Factors of 1833
1.What are the factors of 1833?
2.Mention the prime factors of 1833.
3.Is 1833 a multiple of 3?
4.Mention the factor pairs of 1833?
5.What is the square of 1833?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1833?
7.What are some fun ways kids in Qatar can practice Factors of 1833 with numbers?
8.What role do numbers and Factors of 1833 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1833 skills?
Important Glossaries for Factor of 1833
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1833 are 1, 3, 611, and 1833.
- Prime factors: The factors which are prime numbers. For example, 3 and 611 are prime factors of 1833.
- 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 1833 are (1, 1833), (3, 611).
- Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 1833 is 3 × 611.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -3, -611, and -1833 are negative factors of 1833.
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About BrightChamps in Qatar
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.
