122 LearnersLast updated on May 26th, 2025
Factors of -104
Factors are the numbers that divide any given number evenly without a 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 a 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 the 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 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), (8, 13).
Negative factor pairs of 104: (-1, -104), (-2, -52), (-4, -26), (-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 word. Always remember to include 1 and the number itself.
For example, in factors of 104, 1 and 104 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 104 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fraction also as a fraction. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 104/1.5 = 69.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 104 are prime numbers.
For example, 2 and 13 are the prime factors of 104, but it has other factors like 4, 26.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 104 as 2³ × 13 and missing all the key factors.
Factors of -104 Examples
Problem 1
There are 26 students and -104 apples. How will they divide it equally?
They will get -4 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of students.
-104/26 = -4
Problem 2
A rectangular plot has a length of 13 meters and a total area of -104 square meters. Find the width.
-8 meters.
Explanation
To find the width of the plot, 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 4 boxes and -104 marbles. How many marbles will be in each box?
Each box will have -26 marbles.
Explanation
To find the marbles in each box, divide the total marbles with the boxes.
-104/4 = -26
Problem 4
In a class, there are -104 candies, and 8 jars. How many candies are there in each jar?
There are -13 candies in each jar.
Explanation
Dividing the candies with the total jars, we will get the number of candies in each jar.
-104/8 = -13
Problem 5
-104 balloons need to be divided equally into 2 baskets. How many balloons will go in each basket?
Each of the baskets has -52 balloons.
Explanation
Divide total balloons with baskets.
-104/2 = -52
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 8?
4.Mention the factor pairs of -104?
5.What is the square of -104?
6.How can children in Oman use numbers in everyday life to understand Factors of -104?
7.What are some fun ways kids in Oman can practice Factors of -104 with numbers?
8.What role do numbers and Factors of -104 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of -104 skills?
Important Glossaries for Factor 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.
- Negative factors: Factors of a number that are negative. For example, the negative factors of -104 are -1, -2, -4, etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of -104 is 2³ × 13.
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About BrightChamps in Oman
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.
