118 LearnersLast updated on May 26th, 2025
Factors of 1823
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 1823, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1823?
The numbers that divide 1823 evenly are known as factors of 1823.
A factor of 1823 is a number that divides the number without a remainder.
The factors of 1823 are 1 and 1823.
Negative factors of 1823: -1 and -1823.
Prime factors of 1823: 1823 (since it is a prime number).
The sum of factors of 1823: 1 + 1823 = 1824
How to Find Factors of 1823?
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 1823. Since 1823 is a prime number, it only has the multiplication pair of itself and 1.
Step 1: Multiply 1823 by 1, 1823 × 1 = 1823.
Therefore, the only positive factor pair of 1823 is: (1, 1823).
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 1823 by 1, 1823 ÷ 1 = 1823.
Step 2: Check divisibility by other numbers up to the square root of 1823.
Since 1823 is a prime number, it is only divisible by itself and 1.
Therefore, the factors of 1823 are: 1 and 1823.
Prime Factors and Prime Factorization
Factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: Since 1823 is a prime number, it cannot be broken down further into other prime factors.
The prime factorization of 1823 is simply 1823 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 1823 is a prime number, it cannot be broken down into other factors.
The factor tree would simply show 1823 connected to itself.
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 1823: (1, 1823).
Negative factor pairs of 1823: (-1, -1823).
Common Mistakes and How to Avoid Them in Factors of 1823
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 1823, 1 and 1823 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1823 consist of -1 and -1823.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1823/1.5 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 1823 are prime numbers. However, 1823 is a prime number, and its only factors are 1 and 1823.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not recognizing 1823 as a prime number and incorrectly attempting to factorize further.
Factors of 1823 Examples
Problem 1
There are 1823 apples to be packed into boxes. How many apples will each box have if there is only one box?
Each box will have 1823 apples.
Explanation
To pack the apples into one box, simply count all the apples in one box.
1823/1 = 1823
Problem 2
A garden is rectangular, the length of the garden is 1823 meters and the total area is 1823 square meters. Find the width.
1 meter.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1823 = 1823 × width
To find the value of width, divide both sides by 1823.
1823/1823 = width
Width = 1.
Problem 3
There are 1 gift basket and 1823 candies. How many candies will be in the basket?
The basket will have 1823 candies.
Explanation
To find the candies in each basket, divide the total candies by the number of baskets.
1823/1 = 1823
Problem 4
There are 1823 chairs in a hall and 1 row. How many chairs are there in the row?
There are 1823 chairs in the row.
Explanation
Dividing the total number of chairs by the number of rows gives the number of chairs in each row.
1823/1 = 1823
Problem 5
1823 files need to be stored in 1 folder. How many files will go in each folder?
All 1823 files will go in the folder.
Explanation
Divide the total files by the number of folders.
1823/1 = 1823
FAQs on Factors of 1823
1.What are the factors of 1823?
2.Mention the prime factors of 1823.
3.Is 1823 a multiple of 3?
4.Mention the factor pairs of 1823?
5.What is the square of 1823?
6.How can children in Oman use numbers in everyday life to understand Factors of 1823?
7.What are some fun ways kids in Oman can practice Factors of 1823 with numbers?
8.What role do numbers and Factors of 1823 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 1823 skills?
Important Glossaries for Factor of 1823
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1823 are 1 and 1823.
- Prime factors: The factors which are prime numbers. For example, 1823 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1823 is (1, 1823).
- Prime number: A number greater than 1 that has no factors other than 1 and itself. For example, 1823 is a prime number.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method, 1 × 1823 = 1823.
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About BrightChamps in Oman
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.
