## Plz someone help me to solve this problem.

For students of class 11-12 (age 16+)
afif mansib ch
Posts: 85
Joined: Fri Aug 05, 2011 8:16 pm
Location: dhaka cantonment

### Re: Plz someone help me to solve this problem.

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 ]