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No of positive integral solutions of: x1*x2*x3*x4*x5=840

No of positive integral solutions of:


 


x1*x2*x3*x4*x5=840

Grade:10

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
11 years ago

Hi Satyaram,

 

Factorise 840.

840 = 2*2*2*3*5*7

 

Now from this find the number of ways in which, you can write this as a product of 5 numbers.

You need to do quite a bit of working on this.

 

Do not forget to include 1s when you are writing it as a product of 5 terms.

As for eg, one of the possibility can be 1*1*1*24*35.

So you need to find all such possibilities.

 

From here, you should do the workings.

 

Hope this helps.

 

Regards,

Ashwin (IIT Madras).

Sathya
35 Points
11 years ago

I got it as 3125.Is it correct?

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