Page 1 of 1
BdMO 2017 : Dhaka
Posted: Fri Sep 22, 2017 5:58 pm
by Abdullah Al Tanzim
How many ways can 100000 be written as the product of three positive integers?
Re: BdMO 2017 : Dhaka
Posted: Wed Nov 22, 2017 2:25 pm
by ankon dey
it is a power of 10......i mean 2*5...........using them in various combination......u will get the answer.........try out urself
Re: BdMO 2017 : Dhaka
Posted: Fri Dec 08, 2017 8:55 pm
by thczarif
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
.
.
.
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)...
Re: BdMO 2017 : Dhaka
Posted: Sun Feb 17, 2019 11:43 am
by samiul_samin
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:$\fbox{114}$