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How many different positive integers are factors of 225 ?

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Carcass
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How many different positive integers are factors of 225 ? [#permalink] New post   12 May 2022, 09:45
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How many different positive integers are factors of 225 ?

(A) 4
(B) 6
(C) 7
(D) 9
(E) 11

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D
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GreenlightTestPrep
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Re: How many different positive integers are factors of 225 ? [#permalink] New post   12 May 2022, 11:42
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Carcass wrote:
How many different positive integers are factors of 225 ?

(A) 4
(B) 6
(C) 7
(D) 9
(E) 11


-------ASIDE--------------
If N = (p^a)(q^b)(r^c)..., where p, q, r,...(etc.) are prime numbers, then the total number of positive divisors of N is equal to (a+1)(b+1)(c+1)...

Example: 14000 = (2^4)(5^3)(7^1)
So, the number of positive divisors of 14000 = (4+1)(3+1)(1+1) = (5)(4)(2) = 40
-------------------------

225= (3^2)(5^2)
So, the number of positive divisors of 225 = (2+1)(2+1) = (3)(3) = 9

Answer: D
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gmatclubot
Re: How many different positive integers are factors of 225 ? [#permalink]
12 May 2022, 11:42
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