Question

Number of divisors of the form 4n + 2; n $\ge$ 0 which can divide 240 is:

• A. 4
• B. 8
• C. 10
• D. 3

Answer 1

The correct option is A 4

We have 240 $=2^4\times 3\times 5$
$\therefore$ Number of divisors
$=5\times 2\times 2$ = 20, which are given below:
$\begin{array}{ccccc}& & & & \\ 1& 2& 4& 8& 16\\ 3& 6& 12& 24& 48\\ 5& 10& 20& 40& 80\\ 15& 30& 60& 120& 240\end{array}$
Thus only 4 divisors are of the form 4n + 2. (i.e, 2,6,10 &30)
Hence option a is correct.