Let N = 18p, where p is a prime number greater than 2. How many odd numbers divide N?
Choose the correct choice from the following options
A) 1 B) 2 C) 3 D) 4 E) 5
We start by factoring 18. 18 = 2*9 = 6*3 = 2*3*3. Since p is a prime number greater than 2 it must be odd. Therefore 3, 9, and p are the odd numbers that divide N. There are three odd divisors and the answer is therefore 3.
<result>C</result>
Let N = 18p, where p is a prime number greater than 2. How many odd numbers divide N?