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Bunuel
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Which of the following numbers has the greatest number of distinct 13 Apr 2016, 06:12
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Question Stats:

80% (01:54) correct 20% (01:48) wrong based on 332 sessions

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Which of the following numbers has the greatest number of distinct prime factors?

A. 165
B. 192
C. 228
D. 330
E. 332
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D
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Skywalker18
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Which of the following numbers has the greatest number of distinct 13 Apr 2016, 06:28
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165=3*5*11
192=2^6 *3
228=2^2 *3*19
330=2*3*5*11
332=2^2 * 83

330 has 4 distinct prime factors
Answer D
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Which of the following numbers has the greatest number of distinct 14 May 2017, 05:31
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is trial and error the only way to solve this, or is there a trick to eliminate the obvious ones?
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Bunuel
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Which of the following numbers has the greatest number of distinct 14 May 2017, 05:34
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ameyaprabhu
is trial and error the only way to solve this, or is there a trick to eliminate the obvious ones?
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Yes, you should do prime factorization to get the answer.
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Which of the following numbers has the greatest number of distinct 18 May 2017, 20:01
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Bunuel
Which of the following numbers has the greatest number of distinct prime factors?

A. 165
B. 192
C. 228
D. 330
E. 332
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We can express each answer choice as a product of its prime factors:

A) 165

165 = 5 x 33 = 5 x 11 x 3

165 has 3 distinct prime factors.

B) 192

192 = 8 x 24 = 8 x 8 x 3 = 2^6 x 3^1

192 has 2 distinct prime factors.

C) 228

228 = 4 x 57 = 2^2 x 57

228 has 2 distinct prime factors.

D) 330

330 = 10 x 33 = 2 x 3 x 5 x 11

330 has 4 distinct prime factors.

E) 332

332 = 4 x 83 = 2^2 x 83

332 has 2 distinct prime factors.

330 has the greatest number of distinct prime factors.

Answer: D
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Which of the following numbers has the greatest number of distinct 04 Jul 2017, 07:20
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Bunuel
ameyaprabhu
is trial and error the only way to solve this, or is there a trick to eliminate the obvious ones?

Yes, you should do prime factorization to get the answer.
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Bunuel mean there is no way out except applying factroization on every question it is taking time it took my 2 minutes :(
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Which of the following numbers has the greatest number of distinct 05 Mar 2020, 07:16
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Bunuel
Which of the following numbers has the greatest number of distinct prime factors?

A. 165
B. 192
C. 228
D. 330
E. 332
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This requires us to find the prime factorization of each answer choice

A. 165 = (3)(5)(11) --- 3 distinct prime factors
B. 192 = (2)(2)(2)(2)(2)(2)(3) --- 2 distinct prime factors
C. 228 = (2)(2)(3)(19) --- 3 distinct prime factors
D. 330 = (2)(3)(5)(11) --- 4 distinct prime factors
E. 332 = (2)(2)(83) --- 2 distinct prime factors

Answer: D

Cheers,
Brent
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Which of the following numbers has the greatest number of distinct 20 Apr 2024, 03:22
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