119 LearnersLast updated on May 26th, 2025
Factors of -23
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.
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
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
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).
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.
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.
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.
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
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 -23, 1 and -23 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of -23 include -1 and -23.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because -23/1.5 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 -23 are prime numbers. In fact, -23 is itself a prime number.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, misidentifying the prime nature of -23 and trying to find additional factors.
Factors of -23 Examples
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?
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.
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?
23 students.
Explanation
Each student can receive one book because 23 books divided by 1 book per student equals 23 students.
Problem 3
A group of 23 hikers split into smaller groups, ensuring each group has one hiker. How many groups are formed?
23 groups.
Explanation
The hikers form groups of one since 23 divided by 1 equals 23.
Problem 4
A factory produces 23 identical widgets. How many complete sets of widgets can be made if each set consists of one widget?
23 sets.
Explanation
Each set consists of one widget, so 23 divided by 1 equals 23 complete sets.
Problem 5
A concert hall has 23 seats. How many rows of seats are there if each row has one seat?
23 rows.
Explanation
Each row has one seat, so 23 divided by 1 equals 23 rows.
FAQs on Factors of -23
1.What are the factors of -23?
2.Mention the prime factors of -23.
3.Is -23 a multiple of any number?
4.What is the sum of the factors of -23?
5.Can -23 be broken down using a factor tree?
6.How can children in Qatar use numbers in everyday life to understand Factors of -23?
7.What are some fun ways kids in Qatar can practice Factors of -23 with numbers?
8.What role do numbers and Factors of -23 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of -23 skills?
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 Qatar
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.
