What is the remainder when is divided by ?
How many distinct ordered pairs of positive integers are there which satisfy the above equation?
The above equation is a common mistake made when interpreting fractions.
How many ordered triplets of integers with are there, such that the above equation is a true statement?
Given a positive integer , let be the product of the non-zero digits of . (If has one digit, then is equal to that digit.) Let
What is the largest prime factor of ?
and are distinct positive integers strictly greater than 1. If divides , what is the value of ?