Mod 7

Number Theory Level 1

Calculate the remainder when 6 1902 6^{1902} is divided by 7. 7.


The answer is 1.

Dan Shin by Dan Shin , 21, USA

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.

2 solutions

Mohit Gupta
Nov 14, 2015

6 1902 = ( 7 − 1 ) 1902 6^{1902}=(7-1)^{1902} mod(7) = 1

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Brian Wang
Nov 13, 2015

The pattern of the remainder is 6,1,6,1,6, etc. 1902/2 = 0 So the answer is 1.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...