Find the number of factors of 180 that are in the form (4*k + 2), where k is a non-negative integer?
Pick one:	A) 1	B) 2	C) 3	D) 4	E) 6
Make sure to follow posting guidelines (link in my signatures). Title of the thread must mention the first few words of the question itself.   As for the question, the most straightforward way is to list out the factors (this is fine for this question as 180 is a relatively small number). Number of factors of 180 (=2^2*3^2*5) = 18. So listing the factors gives us:   1, 180   2, 90   3, 60   4, 45   5, 36   6, 30   9, 20   10, 18   12, 15   As the question asks us about the factors of the form 4k+2 ---&gt; eliminate all ODD factors. You are now left with   2,4,6,10,12,18,20,30,36,60,90,180   For the form 4k+2, the first few values are 2, 6, 10, 14, 18, 22, 26, 30 ... already giving you 5 factors (=2,6,10,18,30). You can stop here and mark 6 (6th one = 90) as the correct answer as 5 is not given.   For checking any particular factor whether they conform to the form 4k+2---&gt; do the following   4k+2 = 36 ---&gt; 4k = 34 --&gt; this will NOT give you an integer value for k ---&gt; reject. Proceed with others until you find all the values asked.   6 is thus the correct answer.
<result>E</result>
Find the number of factors of 180 that are in the form (4*k + 2), where k is a non-negative integer?