Factors of -104
2026-02-28 23:53 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-minus-104

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Last updated on December 12, 2025

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.

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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: 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.

Problem 1

There are 26 students and -104 apples. How will they divide it equally?

Okay, lets begin

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

Well explained 👍

Problem 2

A rectangular plot has a length of 13 meters and a total area of -104 square meters. Find the width.

Okay, lets begin

-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.

Well explained 👍

Problem 3

There are 4 boxes and -104 marbles. How many marbles will be in each box?

Okay, lets begin

Each box will have -26 marbles.

Explanation

To find the marbles in each box, divide the total marbles with the boxes.

-104/4 = -26

Well explained 👍

Problem 4

In a class, there are -104 candies, and 8 jars. How many candies are there in each jar?

Okay, lets begin

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

Well explained 👍

Problem 5

-104 balloons need to be divided equally into 2 baskets. How many balloons will go in each basket?

Okay, lets begin

Each of the baskets has -52 balloons.

Explanation

Divide total balloons with baskets.

-104/2 = -52

Well explained 👍

FAQs on Factors of -104

1.What are the factors of -104?

1, 2, 4, 8, 13, 26, 52, 104 are the factors of -104.

2.Mention the prime factors of -104.

The prime factors of -104 are 2³ × 13.

3.Is -104 a multiple of 8?

4.Mention the factor pairs of -104?

(1, 104), (2, 52), (4, 26), (8, 13) are the factor pairs of -104.

5.What is the square of -104?

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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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.