Probability Question.. (1 Viewer)

[Gray Shadow]

Well the question is:

Find the number of positive divisors of 315000 (by considering its prime factorisation). *it's related to combination*

My mind's a muddle right now so I just couldn't get the right answer.. help anyone?? ><

 

[darkliight]

315,000
= 315 * 10^3
= 315 * (2 * 5)^3
= 63 * 5 * (2 * 5 )^3
= 3^2 * 7 * 5 * (2 * 5)^3
= 2^3 * 3^2 * 5^4 * 7

Divisors of 315,000 are any combination of those numbers (eg. 2*3 is a divisor, 2^2 * 3^2 is a divisor etc). Written like that, you should be able to get the last bit.