Sign In Sign Up
 Magyar Information Contest Journal Articles

# Problem C. 1006. (November 2009)

C. 1006. Prove that six-digit numbers of the form cannot have prime factors of more than two digits.

(5 pont)

Deadline expired on 10 December 2009.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. $\displaystyle \overline{ababab}=10101(10a+b)=3 \cdot 7 \cdot 13 \cdot 37 \cdot \overline{ab}$. Mivel $\displaystyle \overline{ab}$ kétjegyű, ezért legfeljebb kétjegyű prímosztója lehet csak.

### Statistics:

 367 students sent a solution. 5 points: 281 students. 4 points: 47 students. 3 points: 14 students. 2 points: 16 students. 1 point: 1 student. 0 point: 3 students. Unfair, not evaluated: 5 solutions.

 Our web pages are supported by: Morgan Stanley