BdMO 2017 : Dhaka

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Abdullah Al Tanzim
Posts:24
Joined:Tue Apr 11, 2017 12:03 am
Location:Dhaka, Bangladesh.
BdMO 2017 : Dhaka

Unread post by Abdullah Al Tanzim » Fri Sep 22, 2017 5:58 pm

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:3
Joined:Wed Nov 22, 2017 2:16 pm

Re: BdMO 2017 : Dhaka

Unread post by ankon dey » Wed Nov 22, 2017 2:25 pm

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:21
Joined:Mon Sep 25, 2017 11:27 pm
Location:Dhaka,Bangladesh

Re: BdMO 2017 : Dhaka

Unread post by thczarif » Fri Dec 08, 2017 8:55 pm

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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.
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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)...

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO 2017 : Dhaka

Unread post by samiul_samin » Sun Feb 17, 2019 11:43 am

Abdullah Al Tanzim wrote:
Fri Sep 22, 2017 5:58 pm
How many ways can 100000 be written as the product of three positive integers?
Question:
Screenshot_2019-02-17-11-41-50-1.png
Answer:$\fbox{114}$

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