Question

Write all the factors of the following number.
\[23.\]

Answer 1

Hint: Prime numbers are the positive integers, those numbers are having only two factors, 1 and the integer itself. Prime numbers cannot have other factors other than, 1 and the integer itself.
The numbers having other factors along with 1 and itself, those numbers are called composite numbers. so \[23\] is a prime number.

Complete step-by-step answer:
From the question it is clear that we have to find all the factors of \[23\].
To find the factors of \[23\], we will use the factorization method.
In the factorization method, first we will consider the numbers \[1\] and\[23\] as factors of \[23\].
And continue to find the other pair of factors of \[23\] which gives the results as an original number.
 First consider the number \[23\].
Find two numbers, which results in \[23\]under multiplication say \[1\]and \[23\], such that \[1\times 23\]
We know that \[1\]and \[23\] are the prime numbers that have only two factors, i.e., \[1\] and the number itself and cannot further factorize it,
Factors of \[23=1\times 23\].
Therefore, the factorization of \[23\] is written as \[23=1\times 23\].
Since, \[23\] is a prime number, it cannot have other factors other than \[1\] and itself.
Now we can conclude that \[1\]and \[23\] are two factors of \[23\].
So, the number of factors of \[23\]=\[2\].

Note: Students should have more conceptual knowledge about prime numbers, composite numbers and how to do factorization method. conceptual error and calculation error during factorization method may lead to do this question wrong.