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BdMO Online Forum • View topic - BdMO 2017 : Dhaka

BdMO 2017 : Dhaka

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BdMO 2017 : Dhaka

Post Number:#1  Unread postby 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
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Abdullah Al Tanzim
 
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Location: Dhaka, Bangladesh.

Re: BdMO 2017 : Dhaka

Post Number:#2  Unread postby 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
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Re: BdMO 2017 : Dhaka

Post Number:#3  Unread postby 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)...
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