Troublesome Division or not

Number Theory Level 3

What is the second highest power of 2 that divides 80 ! 80! ?

Clarification : It is 80 factorial.

2 77 2^{77} 2 100 2^{100} Cannot be determined 2 78 2^{78}

Tanay Gaurav by tanay gaurav , 24, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Tanay Gaurav
Dec 12, 2015

Highest power of 2 in 80! is 78. So if we divide 2 raised to power 77, it will remain a multiple of 2 but not 4 and it is also the least number. So 2 raised to 77 is the correct option.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...