2018 AMC 8 Problems/Problem 7
Contents
Problem
The -digit number
is divisible by
. What is the remainder when this number is divided by
?
Solution
We use the property that the digits of a number must sum to a multiple of if it are divisible by
. This means
must be divisible by
. The only possible value for
then must be
. Since we are looking for the remainder when divided by
, we can ignore the thousands. The remainder when
is divided by
is
.
20187 mod 8 =_ 3
Video Solution
https://youtu.be/6xNkyDgIhEE?t=2341
~savannahsolver
See Also
2018 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.