The factors of 23 are the numbers which on multiplication gives the original number. These factors are 1 and 23. Since 23 is a prime number, therefore, it has only two factors. Factor pairs of the number 23 are the whole numbers which could be either positive or negative but not a fraction or decimal number.
Consider an example, the factor pair of the number 7 is written as (1, 7) and (-1,-7). When we multiply the negative pair factors numbers, the result should give the original number, such as multiplying -1 × -7, then we get the number 7. Thus, we can consider both positive factor pairs and negative factor pairs of 7. To find the factors of a number, 23, we will use the factorization method.
In the factorization method, first consider the numbers, 1 and 23 as factors of 23 and continue with finding the other pair of multiples of 23 which gives the results as an original number. To understand this method in a better way, read the article below to find the factors of 23 in pairs. Also, the prime factor of 23 is discussed here
Pair Factors of 23
To find the pair factors of 23, multiply the two numbers in a pair to get the original number as 23, such numbers are as follows
If 1 × 23 = 23, then (1, 23) is a pair factor of 23.
Similarly, let us find other pair factors of 23.
23 × 1 = 23, then (23, 1) is a pair factor of 23.
Both the factor pairs (1, 23) and (23, 1) are the same.
Therefore, the positive pair factor of 23 is (1, 23)
To find the negative pair factors of 23, then proceed with the following steps
If -1 × -23 = 23, then (-1, -23) is a pair factor of 23.
-23 × -1 = 23, then (-23, -1) is a pair factor of 23.
Both the factor pairs (-1, -23) and (-23, -1) are the same.
Therefore, the negative pair factor of 23 is (-1, -23)
How to Find the Factors of 23?
Learn the following steps to find factors of 23.
- First, write the number 23
- Find the two numbers, which gives the result as 23 under the multiplication, say 1 and 23, such that 1 × 23 = 23.
- We know that 1 and 23 are the prime number has only two factors, i.e., 1 and the number itself and cannot further factorize it.
The factors of 23 = 23 × 1
- Therefore, the factorization of 23 is written as 23 = 23 × 1
Factors of 23
1, and 23
Prime Factors of 23
Since the number 23 is a prime number and it possesses only two factors. i.e., the number 1 and the number itself 23. So the prime factorisation of the number 23 is written as the number 23(itself). We can easily find the number of factors by adding 1 to the exponent value of the prime number 23. So it becomes 1+1 =2. Therefore, we can say the number 23 has two factors.
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