Last updated on May 30th, 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 1204, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1204 evenly are known as factors of 1204.
A factor of 1204 is a number that divides the number without remainder.
The factors of 1204 are 1, 2, 4, 7, 14, 43, 86, 172, 301, 602, and 1204.
Negative factors of 1204: -1, -2, -4, -7, -14, -43, -86, -172, -301, -602, and -1204.
Prime factors of 1204: 2 and 43.
Prime factorization of 1204: 22 × 43.
The sum of factors of 1204: 1 + 2 + 4 + 7 + 14 + 43 + 86 + 172 + 301 + 602 + 1204 = 2436
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 1204. Identifying the numbers which are multiplied to get the number 1204 is the multiplication method.
Step 1: Multiply 1204 by 1, 1204 × 1 = 1204.
Step 2: Check for other numbers that give 1204 after multiplying
2 × 602 = 1204
4 × 301 = 1204
7 × 172 = 1204
14 × 86 = 1204
43 × 28 = 1204
Therefore, the positive factor pairs of 1204 are: (1, 1204), (2, 602), (4, 301), (7, 172), (14, 86), and (43, 28).
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 as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1204 by 1, 1204 ÷ 1 = 1204.
Step 2: Continue dividing 1204 by the numbers until the remainder becomes 0.
1204 ÷ 1 = 1204
1204 ÷ 2 = 602
1204 ÷ 4 = 301
1204 ÷ 7 = 172
1204 ÷ 14 = 86
1204 ÷ 43 = 28
Therefore, the factors of 1204 are: 1, 2, 4, 7, 14, 43, 86, 172, 301, 602, and 1204.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1204 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1204 ÷ 2 = 602
602 ÷ 2 = 301
301 ÷ 43 = 7
7 ÷ 7 = 1
The prime factors of 1204 are 2 and 43.
The prime factorization of 1204 is: 22 × 43.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1204 is divided by 2 to get 602.
Step 2: Now divide 602 by 2 to get 301.
Step 3: Divide 301 by 43 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1204 is: 22 × 43.
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 1204: (1, 1204), (2, 602), (4, 301), (7, 172), (14, 86), and (43, 28).
Negative factor pairs of 1204: (-1, -1204), (-2, -602), (-4, -301), (-7, -172), (-14, -86), and (-43, -28).
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 14 students and 1204 pencils. How will they distribute them equally?
They will get 86 pencils each.
To divide the pencils equally, divide the total pencils by the number of students.
1204/14 = 86
A garden is rectangular, the length of the garden is 43 meters and the total area is 1204 square meters. Find the width.
28 meters.
To find the width of the garden, use the formula,
Area = length × width
1204 = 43 × width
To find the width, divide 1204 by 43.
1204/43 = width
Width = 28.
There are 86 baskets and 1204 apples. How many apples will be in each basket?
Each basket will have 14 apples.
To find the apples in each basket, divide the total apples by the number of baskets.
1204/86 = 14
In a community, there are 1204 residents and 7 teams. How many residents are there in each team?
There are 172 residents in each team.
Dividing the residents by the total teams gives the number of residents in each team.
1204/7 = 172
1204 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 301 books.
Divide total books by shelves.
1204/4 = 301
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.