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Which of the following integers cannot be expressed as the product of

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Which of the following integers cannot be expressed as the product of  [#permalink]

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New post 27 Nov 2019, 00:43
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (01:27) correct 45% (01:52) wrong based on 31 sessions

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VP
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Re: Which of the following integers cannot be expressed as the product of  [#permalink]

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New post 27 Nov 2019, 00:48
1
Bunuel wrote:
Which of the following integers cannot be expressed as the product of two distinct prime numbers?

A. 29,966
B. 34,571
C. 56,124
D. 67,994
E. 82,919

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By scanning answer options , we see that there are even integer in the options.

Only even prime is 2. Rest of the prime are odd.

Option C)

56124

2*odd prime = 56124

Odd prime = 28062 ( but it is even and it's not a prime )

Thus C is our answer
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Re: Which of the following integers cannot be expressed as the product of  [#permalink]

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New post 27 Nov 2019, 03:48
2
Bunuel wrote:
Which of the following integers cannot be expressed as the product of two distinct prime numbers?

A. 29,966
B. 34,571
C. 56,124
D. 67,994
E. 82,919


Product of any 2 prime numbers can never be divisible by 4
Divisibility Rule of 4: Last 2 digits must be divisible by 4

A. 29,966 ; 66 = 4*15 + 2 --> Not divisible
B. 34,571 ; 71 --> Not divisible
C. 56,124 ; 24 = 4*6 + 0 --> Divisible
D. 67,994 ; 94 = 4*23 + 2 --> Not divisible
E. 82,919 --> Not divisible

--> 56,124 can never be product of 2 distinct prime numbers

IMO Option C
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Re: Which of the following integers cannot be expressed as the product of   [#permalink] 27 Nov 2019, 03:48
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