Question

Write the following number as power of 2, the given number is 128?

Answer 1

Hint: The given question needs to factorize the given number and then the obtained numbers of the digit two will be the power of the number two, in order to solve this question one needs to first factorize the number.
Formulae Used: To raise the power for a factor, first count the digit which appears in the product form in the factors of the number then, put the obtained counting as the power of the number.
For example:
Factors of four:
\[ \Rightarrow 4 = 2 \times 2\]
Hence to write the number four in terms of power of two, we can say:
\[ \Rightarrow 4 = {2^2}\]

Complete step-by-step solution:
The given question is to write the give number 128 in the power of the digit two, to solve the question firstly we are going to factorize the number 128, we get:
\[ \Rightarrow 128 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\]
Now writing the given numbers in the power of two we get:
\[ \Rightarrow 128 = {2^7}\]
Here we got the final answer.
Additional Information: After doing factorization, we achieve only factors of two here, if we get any other factor along with two, then in the answer we have to write that factor in product form, along with the digit two, having powers.

Note: The following type of questions are needed to be solved by doing factorizations, only because without factorization we cannot break the larger number into smaller factors hence power to the digit cannot be achieved.