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 804, how they are used in real life, and tips to learn them quickly.
The numbers that divide 804 evenly are known as factors of 804.
A factor of 804 is a number that divides the number without remainder.
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, and 804.
Negative factors of 804: -1, -2, -3, -4, -6, -12, -67, -134, -201, -268, -402, and -804.
Prime factors of 804: 2, 3, and 67.
Prime factorization of 804: 22 × 3 × 67.
The sum of factors of 804: 1 + 2 + 3 + 4 + 6 + 12 + 67 + 134 + 201 + 268 + 402 + 804 = 1904
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 804. Identifying the numbers which are multiplied to get the number 804 is the multiplication method.
Step 1: Multiply 804 by 1, 804 × 1 = 804.
Step 2: Check for other numbers that give 804 after multiplying
2 × 402 = 804
3 × 268 = 804
4 × 201 = 804
6 × 134 = 804
12 × 67 = 804
Therefore, the positive factor pairs of 804 are: (1, 804), (2, 402), (3, 268), (4, 201), (6, 134), (12, 67).
For every positive factor, there is a negative factor.
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 804 by 1, 804 ÷ 1 = 804.
Step 2: Continue dividing 804 by the numbers until the remainder becomes 0.
804 ÷ 1 = 804
804 ÷ 2 = 402
804 ÷ 3 = 268
804 ÷ 4 = 201
804 ÷ 6 = 134
804 ÷ 12 = 67
Therefore, the factors of 804 are: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 804 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
804 ÷ 2 = 402
402 ÷ 2 = 201
201 ÷ 3 = 67
67 ÷ 67 = 1
The prime factors of 804 are 2, 3, and 67.
The prime factorization of 804 is: 22 × 3 × 67.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 804 is divided by 2 to get 402.
Step 2: Now divide 402 by 2 to get 201.
Step 3: Then divide 201 by 3 to get 67. 67 is a prime number that cannot be divided further. So, the prime factorization of 804 is: 2^2 × 3 × 67.
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 804: (1, 804), (2, 402), (3, 268), (4, 201), (6, 134), and (12, 67).
Negative factor pairs of 804: (-1, -804), (-2, -402), (-3, -268), (-4, -201), (-6, -134), and (-12, -67).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A baker has 804 cupcakes and needs to pack them into boxes of 12. How many boxes are needed?
67 boxes are needed.
To find the number of boxes, we divide the total cupcakes by the number of cupcakes per box.
804/12 = 67
A rectangular garden has an area of 804 square meters and a width of 4 meters. What is the garden's length?
201 meters.
To find the length of the garden, we use the formula: Area = length × width
804 = length × 4
To find the value of length, we divide by the width.
804/4 = length
Length = 201 meters.
There are 134 chairs and 804 tables. How many tables will each chair have?
Each chair will have 6 tables.
To find the tables per chair, divide the total tables by the number of chairs.
804/134 = 6
A library has 804 books and 6 shelves. How many books will go on each shelf?
Each shelf will have 134 books.
Divide the total books by the number of shelves to find the number of books on each shelf.
804/6 = 134
A factory produces 402 gadgets every day. If they work for 2 days, how many gadgets will they produce?
They will produce 804 gadgets.
Multiply the daily production by the number of days to find the total production.
402 × 2 = 804
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.