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What is the greatest integer that will always evenly divide the sum of

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Joined: 02 Sep 2009
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What is the greatest integer that will always evenly divide the sum of  [#permalink]

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03 Dec 2015, 23:54
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What is the greatest integer that will always evenly divide the sum of three consecutive even integers?

A. 2
B. 3
C. 4
D. 6
E. 12

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Re: What is the greatest integer that will always evenly divide the sum of  [#permalink]

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04 Dec 2015, 00:57
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Let the three consecutive even integers be 2x , 2x + 2 , 2x + 4
Sum = 2x + 2x + 2 + 2x + 4
= 6x+6 = 6(x+1)
Therefore , 6 will always be a factor .

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Re: What is the greatest integer that will always evenly divide the sum of  [#permalink]

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05 Dec 2015, 03:10
Skywalker18 wrote:
Let the three consecutive even integers be 2x , 2x + 2 , 2x + 4
Sum = 2x + 2x + 2 + 2x + 4
= 6x+6 = 6(x+1)
Therefore , 6 will always be a factor .

Take an example 4+6+8
sum=18 and 18/6=3,is 3 even?

ans should be obtion B
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Status: Greatness begins beyond your comfort zone
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Re: What is the greatest integer that will always evenly divide the sum of  [#permalink]

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05 Dec 2015, 03:35
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RatneshS wrote:
Skywalker18 wrote:
Let the three consecutive even integers be 2x , 2x + 2 , 2x + 4
Sum = 2x + 2x + 2 + 2x + 4
= 6x+6 = 6(x+1)
Therefore , 6 will always be a factor .

Take an example 4+6+8
sum=18 and 18/6=3,is 3 even?

ans should be obtion B

Hi RatneshS ,
The term evenly divisible means that the process of division should result in a remainder of 0 .
It does not mean that the quotient of the division should be an even number .
Hope it helps!!
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Re: What is the greatest integer that will always evenly divide the sum of  [#permalink]

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15 Mar 2020, 06:19
Bunuel wrote:
What is the greatest integer that will always evenly divide the sum of three consecutive even integers?

A. 2
B. 3
C. 4
D. 6
E. 12

Hello Bunuel is there any official explanation for this question?
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Re: What is the greatest integer that will always evenly divide the sum of   [#permalink] 15 Mar 2020, 06:19