Find a 6-digit integer abcdef with the following properties:
Take the rightmost digit and place it in front of the integer to form a new number (abcdef --> fabcde).
The new one is the product of the old one and the shifted digit (fabcde = f*abcdef).
What was the original integer?  Choose the correct choice from the following answers
A) 122564	B) 102564	C) 142564	D) 102574	E) 102566
a=1 b=0 c=2 d=5 e=6 f=4   fabcde = f x abcdef   410256 = 4 x 102564   ANSWER:102564
<result>B</result>
Find a 6-digit integer abcdef with the following properties:
Take the rightmost digit and place it in front of the integer to form a new number (abcdef --> fabcde).
The new one is the product of the old one and the shifted digit (fabcde = f*abcdef).
What was the original integer?