## Plz someone help me to solve this problem.

For students of class 11-12 (age 16+)
Mathlover
Posts: 12
Joined: Thu May 12, 2011 6:05 pm

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

How many different positive integers divide 10! ?

Mohaimin
Posts: 38
Joined: Thu Dec 09, 2010 7:38 pm
Location: Dhaka
Contact:

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

I am not giving the complete solution. Just telling one possible approach. Do the solution yourself or ask if you need more information.

Mathlover
Posts: 12
Joined: Thu May 12, 2011 6:05 pm

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

the question was to find positive integers,not prime integers.

Posts: 244
Joined: Sat May 07, 2011 12:36 pm
Location: B.A.R.D , kotbari , Comilla

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

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;)
$\frac{1}{0}$

Posts: 244
Joined: Sat May 07, 2011 12:36 pm
Location: B.A.R.D , kotbari , Comilla

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

The ans will be
$\frac{1}{0}$

Mathlover
Posts: 12
Joined: Thu May 12, 2011 6:05 pm

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

Posts: 244
Joined: Sat May 07, 2011 12:36 pm
Location: B.A.R.D , kotbari , Comilla

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

Thanks to u too . Cause u'r the first one thanked in this forum
$\frac{1}{0}$

Tahmid Hasan
Posts: 665
Joined: Thu Dec 09, 2010 5:34 pm

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

tao function is very helpful here i think.
বড় ভালবাসি তোমায়,মা

Mohaimin
Posts: 38
Joined: Thu Dec 09, 2010 7:38 pm
Location: Dhaka
Contact:

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

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.

$\frac{1}{0}$