BdMO 2017 : Dhaka

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Abdullah Al Tanzim
Posts: 9
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: 2
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: 8
Joined: Mon Sep 25, 2017 11:27 pm

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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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)...

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