Question

Teacher draws the factor tree,(given in figure below)and asked the students to find the value of X without finding the value of Y and Z. Shaurya gives the answer X = 136
a} is his answer correct?
b} give reason for your answer.

[x]
/\
[2] [y]
\ /\
[2] [z]
\ /\
[2] [17]

Answer 1

(a) Yes, he is correct. The value of x is 136.

(b) From the factor tree,

z = 2*17 = 34 .......[i]

y = 2*z = 2*34 ......[ using (i) ]

:. y = 68 ...........[ii]

Now,

x = 2*y = 2*68 .....[ using (ii) ]

Therefore, x = 136.

Hence proved.

Answer 2

Answer:

Yes, his answer is correct.

Step-by-step explanation:

The prime factorization of x is 2^3*17 as per the figure. And when they are all multiplied together, the product is 136.

Therefore, it is obvious that the value of x is 136.

The value of how to understand a concept is depicted in this question.