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153 LearnersLast updated on December 10th, 2024
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
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
Factors of 23 Examples
Problem 1
What will be the sum of the squares of each factor of 23?
Explanation
Problem 2
Is 23 divisible by 5?
Explanation
Problem 3
Can 23 be a factor of 230?
Explanation
Problem 4
How many prime numbers are there between 1 and 23?
Explanation
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?
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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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.
