help meby shravan Tags: None 

#1
Nov1205, 11:06 PM

P: 16

how to calculate the number of prime factors of 360? please give the method




#2
Nov1305, 01:46 AM

Sci Advisor
HW Helper
P: 3,149

HINT: Factor the number. :)
P.S. And, no, I am not being glib! 



#3
Nov1305, 07:22 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,886

As Tide said: start factoring. It's not that hard. I'll get you started:
360= 2(180)= 2(2)(90)= ... surely you can do the rest yourself. Did you mean number of distinct prime factors or just number of prime factors (i.e. counting "2" more than once). 



#4
Nov1305, 10:38 PM

P: 16

help me
I am sorry my question was wrong .however I wanted to ask how to find the no: of perfect squares in 360 without factorizing. I am sorry for sending the wrong question.




#5
Nov1405, 12:39 AM

P: 736

That's a different question; prime factorization of 360 yields
[tex] 360 = 2^3 3^2 5 [/tex] and therefore the only perfectsquare factors included are [tex] {\{1,4,9,36\}} [/tex] from observing the prime factorization. There are only four perfectsquare factors of 360. (The "1" is trivial tho ) *Then again, I'll reply later when I'll write an explicitly mathematical way to calculate the quantity of perfectsquare factors of 360>without factorization, as you mentioned 


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