Consecutive Integers

[pkw209]

Any "X" consecutive positive integers will always include exactly one multiple of "X."

True or False?

[mohit11]

Answer is YES, since a number is multiple of itself.

1 2 3 , x = 3 and 3 is a multiple of itself.


2 3 4 5 6 7 , x = 6, 6 is a multiple of itself.

[kstv]

I saw your earlier post similar to this

which at https://www.beatthegmat.com/3-c ... 54101.html

and searching for it I found another explanation by expert Stuart though not directly concerning this at

https://www.beatthegmat.com/divisibility ... t8627.html