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There is a prime number which is a factor of every sum of three consecutive integers. What is the number?

 Aug 19, 2021
 #1
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The prime number is 2.

 Aug 19, 2021
 #2
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Guest is wrong.

The steps to solving it is like this:

We take random sets of three consecutive integers, add them, and find the factors of them.

First set: 1+2+3=6

Second set: 2+3+4=9

Third Set: 3+4+5=12

We can clearly see that the common factor for every set of three is 3.

I hope this helps.

 Aug 19, 2021

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