Factors of 23 – Prime Factorization | Easy Method
Contents
Factors of 23
Factors of 23 are numbers that equally divide the original number. When two multiplied numbers give the same answer, they are called pair factors.
Factors 23 are 1 and 23.
Its factors are only two since 23 is a prime number. Natural numbers make up the number 23, but it is not a fraction or decimal number.
How to Find the Factors of 23?
We will use the factorization method to find the factors of the number 23.
To use the factorization method, first, consider the numbers 1 and 23 as factors of 23 and then find the other pair of multiples of 23, resulting in the original number.
Find the factors of 23 by following these steps.
- Write the number 23 first.
- You need to find two numbers that result in 23 when multiplied, say 1 and 23, so that 1 × 23 = 23.
- 1 and 23 are the only two prime numbers with just two factors, namely, one and themselves, and cannot be factored any further.
The factors of 23 = 23 × 1
- Thus, 23 is factorized as 23 × 1
Factors of 23
1 and 23
Pair Factors of 23
You can find the pair factors of 23 by multiplying two numbers to get 23. As shown below, we can write both positive and negative integers in pairs:
| Positive pairs | Negative pairs |
| 1 × 23 = 23; (1, 23) | (-1) × (-23) = 23; (-1, -23) |
| 23 × 1 = 23; (23, 1) | (-23) × (-1) = 23; (-23, -1) |
Accordingly, 23 has two positive pair factors: (1, 23) and (23, 1).
There are two negative pair factors for 23: (-1, -23) and (-23, -1).
Prime Factors of 23
We generally use the prime factorization method to find the prime factors of a number. In this case, 23 has the following prime factors.
23 = 1 × 23
23 is one of the prime numbers. As the prime numbers only have one factor themselves, we cannot factor them further.
Thus, 23 alone is the prime factor.
| Links Related to Factors | |
| Factor 24= 1, 2, 3, 4, 6, 8, 12, and 24. | Factor 10= 1, 2, 5, and 10. |
| Factors of 48= 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. | Factors of 18= 1, 2, 3, 6, 9 and 18. |
| Factors of 42= 1, 2, 3, 6, 7, 14, 21, and 42. | Factor 62= 1, 2, 31, and 62. |
| Factors of 35= 1, 5, 7, and 35. | Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72. |
| Factors of 84= 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84. | Factors of 50= 1, 2, 5, 10, 25, 50. |
Solved Examples
Example1:
Calculate the common factors of 23 and 10.
Solution:
Factors of 23= 1 and 23
Factors of 10= 1, 2, 5, and 10.
As a result, 23 and 20 have a common factor of 1.
Example 2:
Calculate the common factors of 23 and 24.
Solution:
Factors of 23= 1 and 23
Factors of 24= 1, 2, 3, 4, 6, 8, 12, and 24.
Therefore, the common factor of 23 and 24 is 1.
Example 3:
Calculate 23 and 55’s common factors.
Solution:
Factors of 23= 1 and 23
Factors of 55= 1, 5, 11, and 55.
Thus, the common factor of 23 and 55 is 1.
FAQs
Are there more than two factors in 23?
Since 23 is a prime number, it does not have more than two factors. Therefore, it consists of only two factors, namely 1 and 23.
Is 23 a prime number or a composite number?
23 has two factors, namely 1 and 23, making it a prime number.
How many factors are in 23 and 36?
1 and 23 are the factors of 23.
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
What are the prime factors of 23?
23 has only one prime factor, which is itself.
What makes number 23 so unique?
23 is a prime number, i.e., the number that can be divided only by itself and one. Twenty-three is the lowest prime number with consecutive digits.
How many numbers are divisible by 23?
The number is divisible by 23 precisely if it is a multiple of 23.
Links Related to Factors
Factors of 8=1, 2, 4, and 8.
Factors of 54=1, 2, 3, 6, 9, 18, 27 and 54.
Factors of 64=1, 2, 4, 8, 16, 32, 64.
Factors of 35=1, 5, 7, 35
Factors of 75=1, 3, 5, 15, 25 and 75.
Factors of 56=1, 2, 4, 7, 8, 14, 28 and 56.