Question

Find the highest power of 2 in 17!

a. 14
b. 15
c. 16
d. 17

Answer 1

Answer:

c

Step-by-step explanation:

2*2*2*2

therefore

it is 2 raise to power 4

Answer 2

$\fontsize{18}{10}{\textup{\textbf{Correct option is (b) 15.}}}$

Step-by-step explanation:

To find the highest power of 2 in 17!, we need to check the power of 2 in each of the numbers 1, 2, . . . , 17.

The digits 1, 2,  . . , 17 can be written as follows :

$1,\\\\2=2^1,\\\\3,\\\\4=2^2,\\\\5,\\\\6=2\times3,\\\\7,\\\\8=2^3,\\\\9,\\\\10=2\times5,\\\\11,\\\\12=2^2\times3,\\\\13,\\\\14=2\times7,\\\\15,\\\\16=2^4,\\\\17.$

Therefore, the highest power of 2 in 17! is

$1+2+1+3+1+2+1+4=15.$

Thus, the highest power of 2 in 17! is 15.

Option (b) is CORRECT.

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Question : Find the highest power of 2 in 17!.

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