Question

The value of x in the factor tree is:

(A) 30
(B) 150
(C) 100
(D) 50

Answer 1

Hint: In this type of question first, we know what the question asked then use this factor tree is a tool that breaks down any number into its prime factors. Solve this factor tree from last as a multiple of both numbers and then continue up to x.

Complete step by step solution: Before solving this type of question, first, we know about prime factorization:- Prime factorization is finding which prime numbers multiply together to make the original number. For solving any type of factor tree we use prime factorization.
According to the question:
We have to find x of the factor tree.
Now,
By using prime factorization for finding which prime numbers multiply together to make the original number.
Now,
A factor tree is a tool that breaks down any number into its prime factors.
First we multiply last two numbers
3 × 2 = 6
then continues as
6 × 5 = 30
then
30 × 5 = 150 = x
Hence, the value of x is 150
Find correct option is (B)

Note: While solving this type of question, recall the method of prime factorization. Then by starting from the last step of the method, solve for x. Multiple of the last two will give the preceding number.