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How many different positive integers are factors of 225 ?
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12 May 2022, 09:45
12 May 2022, 09:45
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Question Stats:
55% (00:31) correct
44% (01:36) wrong based on 9 sessions
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How many different positive integers are factors of 225 ?
(A) 4
(B) 6
(C) 7
(D) 9
(E) 11
(A) 4
(B) 6
(C) 7
(D) 9
(E) 11
Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: How many different positive integers are factors of 225 ?
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12 May 2022, 11:42
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
(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
gmatclubot
Re: How many different positive integers are factors of 225 ? [#permalink]
12 May 2022, 11:42
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