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If a and b are both prime integers, which of the following could not

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Joined: 02 Sep 2009
Posts: 52437
If a and b are both prime integers, which of the following could not  [#permalink]

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04 Apr 2018, 21:13
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Difficulty:

35% (medium)

Question Stats:

62% (01:09) correct 38% (01:16) wrong based on 101 sessions

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If a and b are both prime integers, which of the following could not be the product of a and b?

A. 14
B. 102
C. 133
D. 142
E. 237

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Joined: 05 Feb 2016
Posts: 144
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: If a and b are both prime integers, which of the following could not  [#permalink]

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04 Apr 2018, 21:35
Bunuel wrote:
If a and b are both prime integers, which of the following could not be the product of a and b?

A. 14
B. 102
C. 133
D. 142
E. 237

Checking from options:102=3*2*13
Option B.
Target Test Prep Representative
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Posts: 2830
Re: If a and b are both prime integers, which of the following could not  [#permalink]

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10 Apr 2018, 10:13
Bunuel wrote:
If a and b are both prime integers, which of the following could not be the product of a and b?

A. 14
B. 102
C. 133
D. 142
E. 237

Since 14 = 2 x 7, 133 = 7 x 19, 142 = 2 x 71, 237 = 3 x 79, only 102 cannot be the product of two prime numbers.

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If a and b are both prime integers, which of the following could not  [#permalink]

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15 Apr 2018, 11:29
Bunuel wrote:
If a and b are both prime integers, which of the following could not be the product of a and b?

A. 14
B. 102
C. 133
D. 142
E. 237

Do Prime Factorization and find which answer will have more than 2 prime factors.

102 --> 2x51 --> 2x3x17. This is 3 factors, so you can not have AB=102 while A and B are both Prime numbers.

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If a and b are both prime integers, which of the following could not &nbs [#permalink] 15 Apr 2018, 11:29
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