How many of the factors of 1400 are divisible by 2?  Pick
A) 12 B) 15 C) 18 D) 21 E) 24
1400 = 2^3*5^2*7   The total number of factors is (3+1)(2+1)(1+1) = 24   The odd factors are 1, 5, 7, 25, 35, and 175.   The number of even factors is 24-6= 
<gadget id="calculator">24-6</gadget>
<output>18</output>
18   The answer is 18.
<result>C</result>
How many of the factors of 1400 are divisible by 2?