# Four Digits

**Number Theory**Level 3

A four digit number is such that the first digit is half the fourth digit. The second digit is equal to the third digit. Also the number formed by the first and the second digit is half the number formed by the third and the fourth digit. If A is the smallest two digit positive factor of the number, find A.

DETAILS

If the number is 1234, the first digit is 1, while 4 is the fourth digit.