Question

Suppose that x and y are positive integers such that x^2 * y^3=46656. What is the sum of all possible values of x?

Answer 1

252

Explanation:

• x² * y³=46656

Prime factors of 46656:

• 46656 = 2⁶3⁶

Possible values of x:

• (2*3)³= 216
• 3³ = 27
• 2³ = 8
• 1

Sum of them:

• 216 + 27 + 8 + 1 = 252