# Find Integer Solutions for (A+3B)(5B+7C)(9C+11A)=1357911

#### anemone

##### MHB POTW Director
Staff member
Find all integer solutions (if any) for the equation $(A+3B)(5B+7C)(9C+11A)=1357911$.

#### HallsofIvy

##### Well-known member
MHB Math Helper
I would start by finding the prime factors of 1375911 (there are five) then forming all groups of 3 factors.

#### anemone

##### MHB POTW Director
Staff member
Hi HallsofIvy !

Thanks for your reply. But since this is a challenge question, I hope you know our expectation here is to receive a full solution, no more, no less.