Factors of 23 are the list of integers that we can split evenly into 23. There are overall 2 factors of 23 i.e. 1 and 23 where 23 is the biggest factor. The sum of all factors of 23 is 24 and its factors in Pairs are (1, 23).

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Factors of 23: 1 and 23Negative Factors of 23: -1 and -23Prime Factors of 23: 23Prime Factorization of 23: 23Sum of Factors of 23: 24
1.What Are the Factors of 23?
2.How to Calculate the Factors of 23?
3.Factors of 23 by Prime Factorization
4. Factors of 23 in Pairs
5.Important Notes
6.FAQs on Factors of 23

What Are the Factors of 23?

The number 23 is a prime number. Being a prime number, 23 has just two factors, 1 and 23. The pair factors of the number 23 are integers but not any fraction or a decimal number. 

Also, both the digits, 2 and 3, are prime.

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Explore factors using illustrations and interactive examples.


How to Calculate the Factors of 23?


We can calculate the factors of a number in two ways, either by division method or by prime factorization. Let"s begin calculating the factors of 23 by the division method, starting with the whole number 1. 

Now divide 23 with the next whole number. Is the remainder 0? Definitely, no!23 ÷ 23 = 1 and remainder is 0.Thus we find that 23 is not divisible by any other number.Since it"s a prime number, it has just two factors, 1 and 23.

Factors of 23 by Prime Factorization


Prime factorization means expressing a number as the product of its prime factors. In the factorization method, consider the numbers, 1 and 23 as factors of 23. 23 is a prime number. It has only two factors, i.e., the number 1 and the number 23 itself. So the prime factorization of the number 23 is 23.


Factors of 23 in Pairs


The pair of numbers which gives 23 when multiplied are the factors of 23 in pairs. The following are the positive and negative factor pairs of 23: (1, 23) and (-1,-23). 


Important Notes


23 is a prime number and has only 1 and 23 as its factors. 23 is the prime factor of 23.

Factors of 23 Solved Examples


Example 1: Johnson has 23 lampshades to be packed in boxes. Each box should contain an equal number of lampshades.

How many boxes will be needed?

Solution:

There are a total of 23 lampshades.

Each box should contain an equal number of lamps, and the number 23 does not have any factors other than 1 and itself.

Therefore, 1 lampshade can be packed in one box.

Thus, 23 boxes will be needed to pack 23 lampshades.


Example 2: Help Olivia determine which number on multiplying with -23 gives 23.

Solution:

The negative factor pair of 23 is: (-1,-23)

Therefore when -23 is multiplied by -1, the product is 23.

-23 x -1 = 23


Example 3: How many factors are there for 23?

Solution:

The factors of 23 are 1, 23. Therefore, 23 has 2 factors.


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FAQs on Factors of 23

What are the Factors of 23?

The factors of 23 are 1, 23 and its negative factors are -1, -23.

How Many Factors of 18 are also common to the Factors of 23?

Since, the factors of 23 are 1, 23 and factors of 18 are 1, 2, 3, 6, 9, 18. Hence, 23 and 18 have only one common factor which is 1. Therefore, 23 and 18 are co-prime.

What is the Greatest Common Factor of 23 and 20?

The factors of 23 are 1, 23 and the factors of 20 are 1, 2, 4, 5, 10, 20. 23 and 20 have only one common factor which is 1. This implies that 23 and 20 are co-prime.Hence, the Greatest Common Factor (GCF) of 23 and 20 is 1.

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What are the Prime Factors of 23?

The prime factor of 23 is 23.

What is the Sum of all the Factors of 23?

Factors of 23 are 1, 23 and, the sum of all these factors is 1 + 23 = 24