Question

The total number of positive integral solution of abc = 24 is

• A. 36
• B. 90
• C. 120
• D. 30

Answer 1

Answer: (C)

120

Answer 2

We have seen that the total number of positive integral solutions of abc = 24 is 30. We observe that any two of the factors in each factorization may be negative. Hence,

Number of integral solutions

= Number of positive integral solutions

+ Number of integral solutions having two negative factors.

Thus total number of solution is 120.