134 LearnersLast updated on May 26th, 2025
Factors of 104
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 104, how they are used in real life, and tips to learn them quickly.
What are the Factors of 104?
The numbers that divide 104 evenly are known as factors of 104. A factor of 104 is a number that divides the number without remainder. The factors of 104 are 1, 2, 4, 8, 13, 26, 52, and 104.
Negative factors of 104: -1, -2, -4, -8, -13, -26, -52, and -104.
Prime factors of 104: 2 and 13.
Prime factorization of 104: 2³ × 13.
The sum of factors of 104: 1 + 2 + 4 + 8 + 13 + 26 + 52 + 104 = 210
How to Find Factors of 104?
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 104. Identifying the numbers which are multiplied to get the number 104 is the multiplication method.
Step 1: Multiply 104 by 1, 104 × 1 = 104.
Step 2: Check for other numbers that give 104 after multiplying 2 × 52 = 104
4 × 26 = 104
8 × 13 = 104
Therefore, the positive factor pairs of 104 are: (1, 104), (2, 52), (4, 26), (8, 13). All these factor pairs result in 104. 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 a simple division method -
Step 1: Divide 104 by 1, 104 ÷ 1 = 104.
Step 2: Continue dividing 104 by the numbers until the remainder becomes 0.
104 ÷ 1 = 104
104 ÷ 2 = 52
104 ÷ 4 = 26
104 ÷ 8 = 13
Therefore, the factors of 104 are: 1, 2, 4, 8, 13, 26, 52, 104.
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 104 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
104 ÷ 2 = 52
52 ÷ 2 = 26
26 ÷ 2 = 13
13 ÷ 13 = 1
The prime factors of 104 are 2 and 13. The prime factorization of 104 is: 2³ × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 104 is divided by 2 to get 52. Step 2: Now divide 52 by 2 to get 26.
Step 3: Then divide 26 by 2 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 104 is: 2³ × 13.
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 104: (1, 104), (2, 52), (4, 26), and (8, 13).
- Negative factor pairs of 104: (-1, -104), (-2, -52), (-4, -26), and (-8, -13).
Common Mistakes and How to Avoid Them in Factors of 104
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 number. Always remember to include 1 and the number itself. For example, in factors of 104, 1 and 104 are also factors.
Factors of 104 Examples
Problem 1
There are 8 friends and 104 pieces of fruit. How will they divide it equally?
They will get 13 pieces of fruit each.
Explanation
To divide the pieces of fruit equally, we need to divide the total pieces with the number of friends.
104/8 = 13
Problem 2
A garden is rectangular, the length of the garden is 13 meters and the total area is 104 square meters. Find the width.
8 meters.
Explanation
To find the width of the garden, we use the formula
, Area = length × width
104 = 13 × width
To find the value of width, we need to shift 13 to the left side.
104/13 = width
Width = 8.
Problem 3
There are 26 boxes and 104 toys. How many toys will be in each box?
Each box will have 4 toys.
Explanation
To find the toys in each box, divide the total toys with the boxes.
104/26 = 4
Problem 4
In a class, there are 104 students, and 13 groups. How many students are there in each group?
There are 8 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
104/13 = 8
Problem 5
104 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 26 books.
Explanation
Divide total books with shelves.
104/4 = 26
FAQs on Factors of 104
1.What are the factors of 104?
2.Mention the prime factors of 104.
3.Is 104 a multiple of 4?
4.Mention the factor pairs of 104?
5.What is the square of 104?
6.How can children in United States use numbers in everyday life to understand Factors of 104?
7.What are some fun ways kids in United States can practice Factors of 104 with numbers?
8.What role do numbers and Factors of 104 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 104 skills?
Important Glossaries for Factors of 104
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 104 are 1, 2, 4, 8, 13, 26, 52, and 104.
- Prime factors: The factors which are prime numbers. For example, 2 and 13 are prime factors of 104.
- 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 104 are (1, 104), (2, 52), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For 104, it is 2³ × 13.
- Multiple: A number that can be divided by another number without a remainder. For example, 104 is a multiple of 4.
Explore More numbers
Previous to Factors of 104
About BrightChamps in United States
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.
