Question

How do you find all factors of \[28\].

Answer 1

Hint:In this question, we will use the concept of the factor that is that the numbers which are multiplied together give the original number and these two numbers are known as factor pairs. The numbers can be either positive or negative but cannot be decimal numbers.

Complete step by step answer:
In this question, we will talk about the factor of a number. First, we know what is the factor of a number. The factor of a number is defined as the two numbers which are multiplied together to give the original number. And these two numbers are called factor pairs.
Now in the question, the number \[28\] is given to find all factors of that number.
Then we calculate one by one to find the factor of the number \[28\].
First, we take the number \[1\]. When we divide the number \[28\] by the number \[1\], then the result would be.
\[ \Rightarrow \dfrac{{28}}{1} = 28\]
In the above, when we divide the number \[28\] by the number\[1\]. Then the result will be \[28\].
Thus the number \[1\] and the number \[28\] are the factors of the number \[28\] because when we multiply those numbers then the result would become the original number.
Now we take the number \[2\]. When we divide the number \[28\] by number \[2\]. Then the result is.
\[ \Rightarrow \dfrac{{28}}{2} = 14\].
In the above, when we divide the number\[28\] by the number \[2\]. Then the result will be \[14\].
Thus the number \[2\] and the number \[14\] are the factors of the number \[28\] because when we multiply those numbers then the result is the original number.
Now we take the number \[3\]. Then we want to divide the number \[28\] by number \[2\]. Then the result will be in a decimal number then this is not a factor of number \[28\].
Now we take the number \[4\]. Then we divide the number \[28\] by \[4\]. Then the result is,
\[ \Rightarrow \dfrac{{28}}{4} = 7\].
In the above, when we divide the number \[28\] by \[4\]. Then the result is \[7\].
Thus the numbers \[4\] and \[7\] are the factors of the number \[28\] because when we multiply those numbers then the result is the original number.
Then we check more integers, when we divide the result will be in decimal numbers.

Therefore, the factors of the number \[28\] are \[1,2,4,7,14,28\].

Note: As we know that if we want to find the factor of a number, then take all integers and divide them into that number. It will give another factor of that number. If the number will be in a decimal form, we cannot consider that number in the factor.