Bunuel wrote:
In how many ways can the integer 48 be expressed as a product of two different positive integers?
A. 10
B. 8
C. 5
D. 4
E. 2
Kudos for a correct solution.
Method 1: Listing all multiples since given number is small
48 = 1*48, 2*24, 3*16, 4*12, 6*8 => 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 = 10
Since the given number is not a perfect square, there will be exact 5 pairs possible of the given 10 factors => 5 ways
Option C
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