## help me

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

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 Recognitions: Homework Help Science Advisor HINT: Factor the number. :) P.S. And, no, I am not being glib!
 Recognitions: Gold Member Science Advisor Staff Emeritus 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).

## 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.

 That's a different question; prime factorization of 360 yields $$360 = 2^3 3^2 5$$ and therefore the only perfect-square factors included are $${\{1,4,9,36\}}$$ from observing the prime factorization. There are only four perfect-square 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 perfect-square factors of 360-->without factorization, as you mentioned