266 LearnersLast updated on May 26th, 2025
Factors of 23
Factors are those numbers which divide 23 perfectly, or we can say that it is a number which, on multiplication with other integers, produces 23. You can observe that, Factors have a great impact on mathematical problem-solving starting from lower grades to high school.
What are the factors of 23
Factors of 23 include only 1 and 23 itself.
Negative factors of 23: Negative Factors of 23 are -1 and -23.
Prime factors of 23: 1 and 23.
Prime Factorization of 23: It is expressed as 23×1.
Sum of Factors: The sum of factors of 23 is 23+1 =24
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How to Find the Factors of 23
The factors of 23 can be found using different methods. Methods to find the factors of 23:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
The multiplication method finds the pair of factors that give 23 as their product.
Multiply 1 and 23, 1×23 = 23.
So, 1 and 23 are the only factors of 23.
Finding Factors Using Division Method
The division method finds the numbers that perfectly divides the given number 23.
1 and 23 are the only factors that the number 23 has. So to verify the factors of 23 using the division method, we just need to divide 23 by 1→ 23/1 =23 and 23 by 23 → 23/23 =1
Prime Factors and Factorization
To get the 23 as their product, we multiply a set of prime numbers, and that set is called prime factors. Prime factorization is the process of breaking down the number into its prime factors.
Prime Factors of 23: 1, 23.
Prime Factorization of 23: 23×1
Factor tree:
A factor tree is not necessary to find the factors of 23. Since 23 is a prime number, the multiplication and division methods are enough to calculate the factors of 23. Factor trees are useful when you are dealing with composite numbers.
Factor Pairs : Factors of 23 can be written in both positive pairs and negative pairs.
Positive pair : (1,23)
Negative Pair: (-1,-23)
The product of the factor pairs will be equal to the number 23. 1×23=23 and -1×(-23)=23.
Common Mistakes and How to Avoid Them in Factors of 23
Mistakes can occur while finding the factors. Learn about the common errors that can occur. Solutions to solve the common mistakes are given below.
Mistake 1
Students often forget that 23 is a prime number, as it is above 10.
Always keep in mind that 23 is a prime number. All prime numbers will only have two factors, they are 1 and the number itself. Prime numbers also exist above 10.
Mistake 2
Mixing up factors and exponents.
Factors and exponents are two different concepts. We put exponents for the factors which are repeating in the prime factorization.
Mistake 3
Including zero as a factor
Factors of 23 divide the number completely. 23 is not divisible by zero.
Mistake 4
Students might assume that 23 has many factors out of not getting a proper concept.
23 is a prime number and composite numbers have more than 2 factors. This is the main and basic concept relating to finding the factors.
Mistake 5
Incorrect understanding of the methods to find GCF and LCM
Factors are applied in the methods to find GCF and LCM. So, knowledge of factors should be there.
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Factors of 23 Examples
Problem 1
What will be the sum of the squares of each factor of 23?
Solution: 12+232=530
Answer: 530
Explanation
List the factors of 23: 1 and 23
Square each factor: 12 and 232
Add them: 1 + 529 = 530
Problem 2
Is 23 divisible by 5?
3/5=4.6, so, 23 is not perfectly divisible by 5, since, 5 is not a factor of 23
Answer: No
Explanation
Checked by dividing 23 by 5.
Problem 3
Can 23 be a factor of 230?
let’s divide 230 by 23 and check.
230/23 =10
Answer: 10
Explanation
We check whether a number is a factor of a given number by simply dividing it.
Problem 4
How many prime numbers are there between 1 and 23?
2,3,5,7,11,13,17,19.
Explanation
Prime numbers are the numbers that have two factors, which are 1 and the number itself. So, listing all the prime numbers between 1 and 23.
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FAQs on Factors of 23
1.Is 23 a factor of 69?
2.Is 23 a factor of 72?
3.What is the prime factorization of 23?
4. How to find the factors of a number?
5.How can children in Oman use numbers in everyday life to understand Factors of 23 ?
6.What are some fun ways kids in Oman can practice Factors of 23 with numbers?
7.What role do numbers and Factors of 23 play in helping children in Oman develop problem-solving skills?
8.How can families in Oman create number-rich environments to improve Factors of 23 skills?
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Important Glossaries for Factors of 23
- Factors - These are numbers that divide the given number perfectly, i.e., without leaving any remainder.
- Prime Factorization - This involves breaking the number into its prime factors.
- Prime factors - These are the prime numbers which on multiplication together results into the original number whose prime factors are to be obtained.
- Composite numbers - These are numbers having more than two factors.
- Multiple - It is a product of the given number and any other integer.
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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.
