SOLUTION: if p,r,and s are three different prime numbers greater than 2, and n= p x r x s, how many positive factors, including 1 and n, does n have?

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: if p,r,and s are three different prime numbers greater than 2, and n= p x r x s, how many positive factors, including 1 and n, does n have?      Log On


   

Question 392149: if p,r,and s are three different prime numbers greater than 2, and n= p x r x s, how many positive factors, including 1 and n, does n have?
Answer by robertb(5830) About Me  (Show Source):
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The power of p is 1, the power of r is 1, and the power of s is 1, so the total number of divisors, or factors, of n, is (1+1)(1+1)(1+1) = 2*2*2 = 8.