131 LearnersLast updated on May 30th, 2025
Factors of 1204
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.
What are the Factors of 1204?
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
How to Find Factors of 1204?
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 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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1204
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1204, 1 and 1204 are also 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 1204 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Sometimes fractions are mistakenly considered as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1204/1.5 = 802.67, which is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not just primes.
For example, thinking all the factors of 1204 are prime numbers.
For example, 2 and 43 are the prime factors of 1204, but it has other factors like 4, 14.
Mistake 5
Mistake in Factorization
People might skip steps in factorization and end up writing wrong factors.
For example, not breaking 1204 as 22 × 43 and missing all the key factors.
Factors of 1204 Examples
Problem 1
There are 14 students and 1204 pencils. How will they distribute them equally?
They will get 86 pencils each.
Explanation
To divide the pencils equally, divide the total pencils by the number of students.
1204/14 = 86
Problem 2
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.
Explanation
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.
Problem 3
There are 86 baskets and 1204 apples. How many apples will be in each basket?
Each basket will have 14 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
1204/86 = 14
Problem 4
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.
Explanation
Dividing the residents by the total teams gives the number of residents in each team.
1204/7 = 172
Problem 5
1204 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 301 books.
Explanation
Divide total books by shelves.
1204/4 = 301
FAQs on Factors of 1204
1.What are the factors of 1204?
2.Mention the prime factors of 1204.
3.Is 1204 a multiple of 7?
4.Mention the factor pairs of 1204?
5.What is the square of 1204?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1204?
7.What are some fun ways kids in Thailand can practice Factors of 1204 with numbers?
8.What role do numbers and Factors of 1204 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1204 skills?
Important Glossaries for Factors of 1204
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1204 are 1, 2, 4, 7, 14, 43, 86, 172, 301, 602, and 1204.
- Prime factors: The factors which are prime numbers. For example, 2 and 43 are prime factors of 1204.
- 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 1204 are (1, 1204), (2, 602), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1204 is 22 × 43.
- Multiple: A multiple is the product of a number and an integer. For example, 1204 is a multiple of 7.
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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
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