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Please help with this problem!

 

Find the number of triples of positive integers (a,b,c) that satisfy a*b*c = 40.

 May 5, 2020
 #1
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Factors  of 40   =   1,2,4,5, 8,10, 20

 

(1, 2, 20)

(1,4, 10)

(1, 5, 8)

(2, 4, 5)

 

We can arrange each of these in 3!  =  6 ways

 

So...we  have  4 * 3!  =    24  total triples

 

 

cool cool cool

 May 5, 2020

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