The value of x in the factor tree is

a)30, b)150, c)100, d)50

To determine the value of x in the factor tree, we first need to understand what a factor tree is. A factor tree is a graphical representation of the prime factors of a number, where we break down the number into its prime factors by continually dividing it.

Let's go through each option and build a factor tree to find the value of x:

a) 30:
30 can be divided into its prime factors as follows:
30 = 2 * 15
= 2 * (3 * 5)

So, the prime factors of 30 are 2, 3, and 5. However, we don't find x in this factorization.

b) 150:
150 can be divided into its prime factors as follows:
150 = 2 * 75
= 2 * (3 * 25)
= 2 * (3 * (5 * 5))

Again, we don't find x in this factorization.

c) 100:
100 can be divided into its prime factors as follows:
100 = 2 * 50
= 2 * (2 * 25)
= 2 * (2 * (5 * 5))

Once again, x is not present in this factorization.

d) 50:
50 can be divided into its prime factors as follows:
50 = 2 * 25
= 2 * (5 * 5)

We can see that x is also not present in this factorization.

Therefore, none of the given options (a, b, c, d) include x in their factor tree. It is possible that there is a typing error or some missing information related to the value of x.

To determine the value of x in the factor tree, we need to construct the factor tree first.

Let's start with the given options:

a) 30
b) 150
c) 100
d) 50

Let's evaluate each option:

a) 30:
- The prime factors of 30 are 2, 3, and 5.
- We can write 30 as 2 × 3 × 5.
- Since there are no other factors, the factor tree ends here.

b) 150:
- The prime factors of 150 are 2, 3, 5, and 5.
- We can write 150 as 2 × 3 × 5 × 5.
- Since there are no other factors, the factor tree ends here.

c) 100:
- The prime factors of 100 are 2, 2, 5, and 5.
- We can write 100 as 2 × 2 × 5 × 5.
- Since there are no other factors, the factor tree ends here.

d) 50:
- The prime factors of 50 are 2, 5, and 5.
- We can write 50 as 2 × 5 × 5.
- Since there are no other factors, the factor tree ends here.

After evaluating all the options, we can conclude that none of the given options match the factor tree. Thus, the value of x in the factor tree is not provided in the given options.