## Plz someone help me to solve this problem.

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

How many different positive integers divide 10! ?

### 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.

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

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

- Nadim Ul Abrar
**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;)

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;)

$\frac{1}{0}$

- Nadim Ul Abrar
**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 nadim......

- Nadim Ul Abrar
**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**Location:**Khulna,Bangladesh.

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

tao function is very helpful here i think.

বড় ভালবাসি তোমায়,মা

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

I know, I did not give you the complete solution. Just gave some hints. I meant to solve it exactly how Nadim solved.Mathlover wrote:the question was to find positive integers,not prime integers.

p, p`... should be prime. You did not mention that.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;)

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