Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 11 teams and 1804 points. How will they distribute the points equally?
They will get 164 points each.
To distribute the points equally, we need to divide the total points by the number of teams.
1804/11 = 164
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.
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.
There are 4 baskets and 1804 apples. How many apples will be in each basket?
Each basket will have 451 apples.
To find the apples in each basket, divide the total apples by the baskets.
1804/4 = 451
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.
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1804/82 = 22
1804 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 902 books.
Divide total books by shelves.
1804/2 = 902
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.
: She loves to read number jokes and games.