First, find the product of the numbers:
Now, rewrite the given expression as:
- x·10000 + y·100 + x + y·10000 + z·100 + x + z·10000 + x·100 + y =
- x(10000 + 100 + 1) + y(10000 + 100 + 1) + z(10000 + 100 + 1) =
- 10101x + 10101y + 10101z =
- (x + y + z)·10101 =
- (x + y + z)·3·7·13·37
Proved that the given expression is divisible by 3, 7, 13 and 37.