301 is one such number.
A 2 digit number divided by a four digit number, such as 2345, will leave the whole 2-digit number as a remainder. It cannot leave a remainder of 1.
Every 2 digit number, when divided by the number one less than it, will result in a remainder of 1.
It is an Odd number. Even numbers are those which have no remainder when divided by 2.
3 divided by 2 goes once, remainder one.