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The number of distinct prime factor of 20^6
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02 Nov 2022, 04:09
02 Nov 2022, 04:09
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Question Stats:
83% (00:47) correct
16% (01:14) wrong based on 48 sessions
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Quantity A |
Quantity B |
The number of distinct prime factor of \(20^6\) |
The number of distinct prime factor of \(32^{10}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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GRE Math Essentials (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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Re: The number of distinct prime factor of 20^6
[#permalink]
07 Nov 2022, 12:07
07 Nov 2022, 12:07
2
Carcass wrote:
Quantity A |
Quantity B |
The number of distinct prime factor of \(20^6\) |
The number of distinct prime factor of \(32^{10}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
\(20^6 = [(2^2)(5)]^6 = (2^{12})(5^6)\)
Distinct Prime factors - 2 and 5
\(32^{10} = (2^5)^{10} = 2^{50}\)
Distinct Prime factors - 2
Col. A: 2
Col. B: 1
Col. A > Col. B
Hence, option B
Re: The number of distinct prime factor of 20^6
[#permalink]
25 Nov 2022, 17:03
25 Nov 2022, 17:03
Does it even matter than the numbers listed are raised to an exponent? I.e. 20^6 would have the same number of distinct prime factors as just 20 since 20^6 = 20*20*20*20*20*20?
