Question

How do you factor $10x + 15$ ?

Answer 1

Hint: According to the question, you need to simply find the factor for that you need to find the largest common factors of 10 and 15. Henceforth, by this, you will find the result for the given question. So, let us see how we can solve this problem.

Complete Step by Step Solution:
The given question in which we need to find the factor of $10x + 15$.
The first thing is that we need to find the factors of 10.
$\Rightarrow 10 = 1,2,5,10$
Similarly, we need to find the factors of 15.
$\Rightarrow 15 = 1,3,5,15$
Now, we will look over the factors of each of the numbers and will take out the largest common factor from each of the lists of numbers. Here, 5 is the largest common factor.
Now, we will divide the number 10 by 5 which will be equal to 2, which means, we get,
$\Rightarrow \dfrac{{10}}{5} = 2$
Similarly, we will divide the number 15 by 5 which will be equal to 3, which means, we get,
$\Rightarrow \dfrac{{15}}{5} = 3$
So, the factor which we obtain is $5(2x + 3)$.

Therefore, the factor for the given equation $10x + 15$ is $5(2x + 3)$.

Note:
In the above solution, we have factored the number 10 and 15 to find the solution. In the factors of 10 and 15, only 5 was common which is why we considered it as common. Also, we need to see if that factor is the largest common factor or not.