If 2004 is split after the third digit into a three-digit integer and a one-digit integer, then the two integers, 200 and 4, have a common factor greater than one. The years 2005 and 2006 each have this same property, too. What is the first odd-numbered year after 2006 that has this property?
+23246 Let's try the odd numbers after 2006:
2007 ---> 200 and 7 --> No, 200 is not divisible by 7.
2009 ---> 200 and 9 --> No, 200 is not divisible by either 3 or 9.
2011 ---> 201 and 1 --> No, 1 has no divisor greater than 1.
2013 ---> 201 and 3 --> Yes, both 201 and 3 are divisible by 3.
