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The product of two numbers is 2028 and their HCF is 13. What are the n

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GTExl
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The product of two numbers is 2028 and their HCF is 13. What are the n [#permalink] New post   17 Jul 2017, 13:54
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The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4
B. 3
C. 2
D. 1
E. 5

Kudo please if you liked the ques.



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C
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quantumliner
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Re: The product of two numbers is 2028 and their HCF is 13. What are the n [#permalink] New post   17 Jul 2017, 15:23
Let a*b = 2028

2028 = 13*13*3*2*2

a b
13 13*3*2*2
13*3 13*2*2

Answer is C
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Re: The product of two numbers is 2028 and their HCF is 13. What are the n [#permalink] New post   17 Jul 2017, 15:35
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GTExl wrote:
The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4
B. 3
C. 2
D. 1
E. 5

Kudo please if you liked the ques.

13 * 156 = 2,028

26 * 78 = 2,028

39 * 52 = 2,028

That's three pairs. I keep testing GCF because OA is two pairs... What am I missing?
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Re: The product of two numbers is 2028 and their HCF is 13. What are the n [#permalink] New post   17 Jul 2017, 16:29
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genxer123 wrote:
GTExl wrote:
The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4
B. 3
C. 2
D. 1
E. 5

Kudo please if you liked the ques.

13 * 156 = 2,028

26 * 78 = 2,028

39 * 52 = 2,028

That's three pairs. I keep testing GCF because OA is two pairs... What am I missing?


13 is the highest common factor. In the combination 26 * 78, HCF is 26. Hence this combination is out.
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Re: The product of two numbers is 2028 and their HCF is 13. What are the n [#permalink] New post   17 Jul 2017, 17:08
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quantumliner wrote:
genxer123 wrote:
GTExl wrote:
The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4
B. 3
C. 2
D. 1
E. 5

Kudo please if you liked the ques.

13 * 156 = 2,028

26 * 78 = 2,028

39 * 52 = 2,028

That's three pairs. I keep testing GCF because OA is two pairs... What am I missing?


13 is the highest common factor. In the combination 26 * 78, HCF is 26. Hence this combination is out.

Wow, was that a dumb mistake. I factored 78 incorrectly. Thanks, quantumliner :-)



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: The product of two numbers is 2028 and their HCF is 13. What are the n [#permalink]
17 Jul 2017, 17:08
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