If the number is a factor of 50, then it is less than 50. There are only two numbers less than 50 where the sum of the digits is 1, one of them is 1 itself. But that is not an even number. Every other single digit number has a sum of digits equal to itself which is greater than 1. Therefore the number you are looking for must be a two-digit number. In order for the digits of a two digit number to add up to 1, what do you think the digits have to be?
HUGE HINT: Zero is a digit.
John
My calculator said it, I believe it, that settles it