In how many ways can the integer 48 be expressed as a product of two different positive integers? Options:  A) 10  B) 8  C) 5  D) 4  E) 2
Method 1: Listing all multiples since given number is small   48 = 1*48, 2*24, 3*16, 4*12, 6*8 =&gt; 5 ways   Method 2: Express given number as prime factors   48 = 6*8 = 2*3 * 2^3 = 2^4 * 3   Total number of factors = (4+1)(1+1) = 5*2= 
<gadget id="calculator">5*2</gadget>
<output>10</output>
10   Since the given number is not a perfect square, there will be exact 5 pairs possible of the given 10 factors=&gt; 5 ways   Option 5
<result>C</result>
In how many ways can the integer 48 be expressed as a product of two different positive integers?