Factors of -13
2026-02-21 20:35 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-minus-13

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Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of -13, how they are used in real life, and the tips to learn them quickly.

What are the Factors of -13?

The numbers that divide -13 evenly are known as factors of -13.

A factor of -13 is a number that divides the number without remainder.

The factors of -13 are 1, -1, 13, and -13.

The negative factors of -13: -1, - 13

Prime factors of 13: 13.

Prime factorization of 13: 13.

How to Find Factors of -13?

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 -13. Identifying the numbers that are multiplied to get the number -13 is the multiplication method.

Step 1: Multiply -13 by -1, -13 × -1 = 13.

Step 2: Check for other numbers that give -13 after multiplying 1 × -13 = -13

Therefore, the factor pairs of -13 are: (1, -13) and (-1, 13).

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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 -13 by 1, -13 ÷ 1 = -13.

Step 2: Continue dividing -13 by the numbers until the remainder becomes 0.

-13 ÷ 1 = -13
-13 ÷ -1 = 13
-13 ÷ 13 = -1
 

Therefore, the factors of -13 are: 1, -1, 13, -13.

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 -13 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. Since -13 is a prime number, it cannot be broken down further.

The prime factorization of -13 is: 13.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. However, as -13 is a prime number, it cannot be broken down further using a factor tree.

So, the prime factorization of -13 is: 13.

Common Mistakes and How to Avoid Them in Factors of -13

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 13 apples and 13 kids. How will they distribute the apples equally?

Okay, lets begin

Each kid will get 1 apple.

Explanation

To distribute the apples equally, we need to divide the total apples by the number of kids.

13/13 = 1

Well explained 👍

Problem 2

A parking lot can hold -13 cars. If each row can hold 1 car, how many rows are there?

Okay, lets begin

There are -13 rows.

Explanation

To find the number of rows, divide the total number of cars by the number of cars each row can hold.
-13/1 = -13

Well explained 👍

Problem 3

There are 13 chairs and 1 table. How many chairs can be placed around the table?

Okay, lets begin

13 chairs can be placed around the table.

Explanation

To find the number of chairs around the table, simply take the total number of chairs.
13 = 13

Well explained 👍

Problem 4

A board is 13 meters long and needs to be cut into pieces of -1 meter each. How many pieces will there be?

Okay, lets begin

There will be -13 pieces.

Explanation

To find the number of pieces, divide the total length by the size of each piece.
13/-1 = -13

Well explained 👍

FAQs on Factors of -13

1.What are the factors of -13?

1, -1, 13, and -13 are the factors of -13.

2.Mention the prime factors of -13.

The prime factor of -13 is 13.

3.Is 13 a prime number?

Yes, 13 is a prime number.

4.Does -13 have any positive factors other than 1 and 13?

No, the positive factors of -13 are only 1 and 13.

5.Can -13 be factorized further?

No, -13 is a prime number and cannot be factorized further.

Important Glossaries for Factors of -13

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -13 are 1, -1, 13, and -13.
     
  • Prime number: A number that has no factors other than 1 and itself. For example, 13 is a prime number.
     
  • Negative factors: Factors that are negative numbers. For example, -1 and -13 are negative factors of -13.
     
  • Prime factorization: Expressing a number as the product of its prime factors. For example, -13 as 13.
     
  • Whole numbers: Numbers without fractions; an integer. For example, 1 and -1 are whole numbers.

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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.