# 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.