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

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Math Expert
Joined: 02 Sep 2009
Posts: 60505
Which of the following integers cannot be expressed as the product of  [#permalink]

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27 Nov 2019, 01:43
00:00

Difficulty:

55% (hard)

Question Stats:

52% (01:25) correct 48% (01:53) wrong based on 27 sessions

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

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27 Nov 2019, 01:48
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

Are You Up For the Challenge: 700 Level Questions

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 )

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

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27 Nov 2019, 04:48
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
Re: Which of the following integers cannot be expressed as the product of   [#permalink] 27 Nov 2019, 04:48
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