Re: Plz someone help me to solve this problem.
Posted: Thu Sep 01, 2011 1:38 pm
i know i'm very late. i act found this pr lately. still i'm giving the sol :
\[10!=2^8\times 3^4\times 5^2\times 7\]
for n composite and p prime,
\[n=\prod (pr)^a^r[r=a - m]\]
and \[d(n)=\prod (ar+1)[r=1-m]\]
so,total number of divisors is:\[9\times 5\times 3\times 2\]=270
[sorry for i couldn't use the notations as usual as i can't usw latex well ]
\[10!=2^8\times 3^4\times 5^2\times 7\]
for n composite and p prime,
\[n=\prod (pr)^a^r[r=a - m]\]
and \[d(n)=\prod (ar+1)[r=1-m]\]
so,total number of divisors is:\[9\times 5\times 3\times 2\]=270
[sorry for i couldn't use the notations as usual as i can't usw latex well ]