135 LearnersLast updated on May 26th, 2025
Factors of 1804
Factors are the numbers that divide any given number evenly without 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 1804, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1804?
The numbers that divide 1804 evenly are known as factors of 1804.
A factor of 1804 is a number that divides the number without remainder.
The factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, and 1804.
Negative factors of 1804: -1, -2, -4, -11, -22, -41, -44, -82, -164, -451, -902, and -1804.
Prime factors of 1804: 2, 11, and 41.
Prime factorization of 1804: 2×2×11×41.
The sum of factors of 1804: 1 + 2 + 4 + 11 + 22 + 41 + 44 + 82 + 164 + 451 + 902 + 1804 = 3528
How to Find Factors of 1804?
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 1804. Identifying the numbers which are multiplied to get the number 1804 is the multiplication method.
Step 1: Multiply 1804 by 1, 1804 × 1 = 1804.
Step 2: Check for other numbers that give 1804 after multiplying
2 × 902 = 1804
4 × 451 = 1804
11 × 164 = 1804
22 × 82 = 1804
41 × 44 = 1804
Therefore, the positive factor pairs of 1804 are: (1, 1804), (2, 902), (4, 451), (11, 164), (22, 82), and (41, 44).
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 simple division method -
Step 1: Divide 1804 by 1, 1804 ÷ 1 = 1804.
Step 2: Continue dividing 1804 by the numbers until the remainder becomes 0.
1804 ÷ 1 = 1804
1804 ÷ 2 = 902
1804 ÷ 4 = 451
1804 ÷ 11 = 164
1804 ÷ 22 = 82
1804 ÷ 41 = 44
Therefore, the factors of 1804 are: 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804.
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 1804 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1804 ÷ 2 = 902
902 ÷ 2 = 451
451 ÷ 11 = 41
41 ÷ 41 = 1
The prime factors of 1804 are 2, 11, and 41.
The prime factorization of 1804 is: 2×2×11×41.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1804 is divided by 2 to get 902.
Step 2: Now divide 902 by 2 to get 451.
Step 3: Then divide 451 by 11 to get 41.
Here, 41 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1804 is: 2×2×11×41.
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 1804: (1, 1804), (2, 902), (4, 451), (11, 164), (22, 82), and (41, 44).
Negative factor pairs of 1804: (-1, -1804), (-2, -902), (-4, -451), (-11, -164), (-22, -82), and (-41, -44).
Common Mistakes and How to Avoid Them in Factors of 1804
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1804, 1 and 1804 are also factors.
Mistake 2
Missing Negative Factors
We tend to only mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1804 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1804/1.5 = 1202.666, 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 1804 are prime numbers.
For example, 2, 11, and 41 are the prime factors of 1804, but it has other factors like 4, 82.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1804 as 2×2×11×41 and missing all the key factors.
Factors of 1804 Examples
Problem 1
There are 11 teams and 1804 points. How will they distribute the points equally?
They will get 164 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1804/11 = 164
Problem 2
A garden is rectangular, the length of the garden is 41 meters and the total area is 1804 square meters. Find the width.
44 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1804 = 41 × width
To find the value of width, we need to shift 41 to the left side.
1804/41 = width
Width = 44.
Problem 3
There are 4 baskets and 1804 apples. How many apples will be in each basket?
Each basket will have 451 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1804/4 = 451
Problem 4
In a hall, there are 1804 chairs, and 82 rows. How many chairs are there in each row?
There are 22 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1804/82 = 22
Problem 5
1804 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 902 books.
Explanation
Divide total books by shelves.
1804/2 = 902
FAQs on Factors of 1804
1.What are the factors of 1804?
2.Mention the prime factors of 1804.
3.Is 1804 a multiple of 4?
4.Mention the factor pairs of 1804?
5.What is the square of 1804?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1804?
7.What are some fun ways kids in Thailand can practice Factors of 1804 with numbers?
8.What role do numbers and Factors of 1804 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1804 skills?
Important Glossaries for Factors of 1804
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, and 1804.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 41 are prime factors of 1804.
- 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 1804 are (1, 1804), (2, 902), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1804 is 2×2×11×41.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the number.
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About BrightChamps in Thailand
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.
