If N is any positive integer, how many consecutive integers following N

are needed to insure that at least one of the integers is divisible by

another positive integer m?

A) m - 1

B) m

C) m + 1

D) 2m

E) m2

Please provide explanation for your answer.

are needed to insure that at least one of the integers is divisible by

another positive integer m?

A) m - 1

B) m

C) m + 1

D) 2m

E) m2

Please provide explanation for your answer.