## BdMO 2017 : Dhaka

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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Abdullah Al Tanzim
Posts: 9
Joined: Tue Apr 11, 2017 12:03 am

### BdMO 2017 : Dhaka

How many ways can 100000 be written as the product of three positive integers?
Everybody is a genius.... But if you judge a fish by its ability to climb a tree, it will spend its whole life believing that it is stupid - Albert Einstein

ankon dey
Posts: 2
Joined: Wed Nov 22, 2017 2:16 pm

### Re: BdMO 2017 : Dhaka

it is a power of 10......i mean 2*5...........using them in various combination......u will get the answer.........try out urself

thczarif
Posts: 8
Joined: Mon Sep 25, 2017 11:27 pm

### Re: BdMO 2017 : Dhaka

if we take 1as the first product 100000 can be written as product of 2 integers in 36
if 2 its 30
if 4 its 24
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you can use this formula,
if X=P1a1*P2a2*P3a3...(P1a1 means p1 to the power a1and Pn is prime) then
the possible way to produce X into 2 integers is (a1+1)(a2+1)(a3+1)...