In factor tree find x.

Hint: Multiply the last two factors given i.e. 2 and 3. Now, multiply the result we got, next factor we see as we go up in the factor tree i.e. 5 keep on doing this until you reach the top value, our x.

Complete step-by-step answer:

Here, in the question given above, we are given a factor tree and we have to find the value of 'x'.
Before proceeding to the question, let us first understand the meaning of the factor.
A factor is a number that divides into another number exactly and without leaving a remainder. For example, \[6=2\times 3\] here 2 and 3 are factors of 6.
In a factor tree, we keep on splitting a given number into its factors until we reach a stage where there are no factors, i.e. we can't split it into more factors.
Now, in the given question, we will proceed from the bottom. See the last given factors 2 and 3, multiply them
\[2\times 3=6\]
Multiply this result with the next factor, we see as we go up, i.e. 5
\[6\times 5=30\]
Again multiply this result with the next factor we see as we go up, i.e. 5
\[30\times 5=150\]
Finally, we are at the top of the factor tree.
So, the value of x is 150.

Note: To solve this type of question, it is not necessary to always proceed from the bottom of the factor tree. We will get the first box as x/5, then proceeding further, we will get x/25, x/50. Then, we will equate x/50 to 3, thus getting the value of x as 150. The possible mistake is that students might get confused when multiplying and might end up multiplying wrong factors. If there is a mistake in any one step, it would lead to the wrong answer.