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Last updated on May 26th, 2025

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Factors of -23

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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 -23, how they are used in real life, and tips to learn them quickly.

Factors of -23 for Saudi Students
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What are the Factors of -23?

The numbers that divide -23 evenly are known as factors of -23.

 

A factor of -23 is a number that divides the number without remainder.

 

The factors of -23 are 1 and -23.

 

Negative factors of -23: -1 and -23.

 

Prime factors of -23: -23 (since -23 is a negative prime number).

 

The sum of factors of -23: 1 + (-23) = -22

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How to Find Factors of -23?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  • Finding factors using multiplication
     
  • Finding factors using the division method
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -23. Identifying the numbers which are multiplied to get the number -23 is the multiplication method.

 

Step 1: Multiply -23 by 1, -23 × 1 = -23.

 

Since -23 is a prime number, there are no other pairs that can be multiplied to give -23.

 

Therefore, the factor pairs of -23 are: (1, -23) and (-1, 23).

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Finding Factors Using Division Method

Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following the simple division method

 

Step 1: Divide -23 by 1, -23 ÷ 1 = -23.

 

Step 2: Divide -23 by itself, -23 ÷ -23 = 1.

 

Therefore, the factors of -23 are: 1 and -23.

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Prime Factors and Prime Factorization

The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:

  • Using prime factorization

 

Using Prime Factorization: Since -23 is a prime number, it can only be divided by -23 and 1.

 

The prime factorization of -23 is: -23.

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Factor Tree

A factor tree is not applicable for -23 as it is a prime number.

 

Factor trees are used for composite numbers to break them down into prime factors.

 

Since -23 is a prime, no further breakdown is possible.

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Common Mistakes and How to Avoid Them in Factors of -23

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.

Mistake 1

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Forgetting the number itself and 1 is a factor

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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 -23, 1 and -23 is also a factor.

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Factors of -23 Examples

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Problem 1

There are 23 people in a group, and they want to form a single line for a photo. How can they do it?

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They will form one line with all 23 people.

Explanation

To arrange all members in a single line, they use the factor of 23 itself, which is 1 line containing all 23 people.

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Max, the Girl Character from BrightChamps

Problem 2

A teacher has 23 books and wants to give them to each of her students, ensuring each student gets one book. How many students can receive a book?

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23 students.

Explanation

Each student can receive one book because 23 books divided by 1 book per student equals 23 students.

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Problem 3

A group of 23 hikers split into smaller groups, ensuring each group has one hiker. How many groups are formed?

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23 groups.

Explanation

The hikers form groups of one since 23 divided by 1 equals 23.

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Problem 4

A factory produces 23 identical widgets. How many complete sets of widgets can be made if each set consists of one widget?

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23 sets.

Explanation

Each set consists of one widget, so 23 divided by 1 equals 23 complete sets.

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Problem 5

A concert hall has 23 seats. How many rows of seats are there if each row has one seat?

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23 rows.

Explanation

Each row has one seat, so 23 divided by 1 equals 23 rows.

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FAQs on Factors of -23

1.What are the factors of -23?

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2.Mention the prime factors of -23.

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3.Is -23 a multiple of any number?

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4.What is the sum of the factors of -23?

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5.Can -23 be broken down using a factor tree?

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6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of -23?

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7.What are some fun ways kids in Saudi Arabia can practice Factors of -23 with numbers?

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8.What role do numbers and Factors of -23 play in helping children in Saudi Arabia develop problem-solving skills?

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9.How can families in Saudi Arabia create number-rich environments to improve Factors of -23 skills?

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Important Glossaries for Factors of -23

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -23 are 1 and -23.
     
  • Prime factors: The factors which are prime numbers. For example, -23 is a prime factor of itself.
     
  • Negative factors: Factors that are negative numbers. For example, the negative factors of -23 are -1 and -23.
     
  • Prime number: A number greater than 1 that cannot be divided evenly by any numbers other than 1 and itself. However, -23 is considered a negative prime due to its indivisibility by other numbers.
     
  • 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 -23 are (1, -23) and (-1, 23).
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About BrightChamps in Saudi Arabia

At BrightChamps, numbers represent more than just digits—they unlock a world of opportunities! Our mission is to help kids across Saudi Arabia develop important math skills, with today’s focus on Factors of -23 highlighting factors—in a lively, fun, and clear manner. Whether your child is calculating the speed of a ride at Al Hokair Land in Riyadh, following scores at local football matches, or managing their allowance for gadgets, understanding numbers boosts their confidence in everyday tasks. Our engaging lessons make learning simple and enjoyable. Since kids in Saudi Arabia learn differently, we customize lessons for each learner. From Riyadh’s busy streets to Jeddah’s historic sites, BrightChamps brings math to life throughout Saudi Arabia. Let’s make factors a fun part of every child’s math experience!
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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.

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Fun Fact

: She loves to read number jokes and games.

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