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Plz someone help me to solve this problem.
Posted: Sat Jun 11, 2011 1:31 pm
by Mathlover
How many different positive integers divide 10! ?
Re: Plz someone help me to solve this problem.
Posted: Sat Jun 11, 2011 5:13 pm
by Mohaimin
I am not giving the complete solution. Just telling one possible approach. Do the solution yourself or ask if you need more information.
Re: Plz someone help me to solve this problem.
Posted: Tue Jun 14, 2011 10:59 pm
by Mathlover
the question was to find positive integers,not prime integers.
Re: Plz someone help me to solve this problem.
Posted: Wed Jun 15, 2011 6:09 pm
by Nadim Ul Abrar
You need to know the theorem that,
If n is any number such that
n=p^{a}p'^{b}........
Where p,p'.......
Then
the number of factors will be
(a+1)(b+1).....
And thats the number of divisor tooo;)
Re: Plz someone help me to solve this problem.
Posted: Wed Jun 15, 2011 6:13 pm
by Nadim Ul Abrar
Re: Plz someone help me to solve this problem.
Posted: Thu Jun 16, 2011 12:36 pm
by Mathlover
thanks nadim......
Re: Plz someone help me to solve this problem.
Posted: Thu Jun 16, 2011 5:38 pm
by Nadim Ul Abrar
Thanks to u too . Cause u'r the first one thanked in this forum
Re: Plz someone help me to solve this problem.
Posted: Thu Jun 16, 2011 10:28 pm
by Tahmid Hasan
tao function is very helpful here i think.
Re: Plz someone help me to solve this problem.
Posted: Fri Jun 17, 2011 7:22 pm
by Mohaimin
Mathlover wrote:the question was to find positive integers,not prime integers.
I know, I did not give you the complete solution. Just gave some hints. I meant to solve it exactly how Nadim solved.
Nadim Ul Abrar wrote:You need to know the theorem that,
If n is any number such that
n=p^{a}p'^{b}........
Where p,p'.......
Then
the number of factors will be
(a+1)(b+1).....
And thats the number of divisor tooo;)
p, p`... should be prime. You did not mention that.
Re: Plz someone help me to solve this problem.
Posted: Sun Jul 10, 2011 3:56 pm
by Nadim Ul Abrar
Sorry @ MOhaimin