If n = 3 x 4 x p, where p is a prime number greater than 3, how many different positive non-prime divisors does n have, excluding 1 and n? Pick.
A) Six	B) Seven	C) Eight	D) Nine	E) Ten
N=Xa∗Yb where X and Y are prime,   then number of factors of N are given by the formula (a+1)(b+1) { Notice I have simply increased the powers of X and Y by one and then multiplied them. Also Make sure X and Y are DISTINCT primes)   So, in your question, n = 3 x 4 x p, where p is prime.   I can n=31∗22∗p^1   or number of factors = (1+1) * (2+1) * (1+1)= 
<gadget id="calculator">(1+1) * (2+1) * (1+1)</gadget>
<output>12</output>
12.   But Notice we need to find Non prime and Other than 1 and n, so we have three prime numbers (2,3,p) , 1 and N.   Excluding these, we have 12-5= 
<gadget id="calculator">12-5</gadget>
<output>7</output>
7 such factors.   Hence Answer is Seven
<result>B</result>
If n = 3 x 4 x p, where p is a prime number greater than 3, how many different positive non-prime divisors does n have, excluding 1 and n?