If integers ending in zero are excluded, what is the unit digit of the product of the even integers from 402 to 498, inclusive?
Select:
A) 2
B) 3
C) 4
D) 5
E) 6
402 x 404 x 406 x 408 =&gt; unit digit 4   412 x 414 x 416 x 418 =&gt; unit digit 4   492 x 494 x 496 x 498 =&gt; unit digit 4   So we have 10 numbers ending by 4 to multiply.   Given that 4 x 4 = 16, we have 5 numbers ending by 6 to multiply   Given that 6 x 6 = 36, we have 3 numbers ending by 6 to multiply   So the unit digit is 6   Answer: 6.
<result>E</result>
If integers ending in zero are excluded, what is the unit digit of the product of the even integers from 402 to 498, inclusive?