The greatest positive integer which divides (n+16)(n+17)(n+18)(n+19),for all positive integers n, is
isuru96:
Hi , I have very little knowledge on number theory..so im not qualified to answer this...but im interested in the question..for me..it seems that (n +19) is the largest integer..since always the number is a product of (n +16) (n +17)(n +18)(n+19)...am i missing something here ?
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Here is your answer my dear friend
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Oh, thank you . But it is wrong
answer is 4 ..but the way i work it out seems a bit mess..i cant convert it to an amswer with proper steps
oh i am so sorry for that huge mistake
but i can kinda explain that theory of getting 4
since this is a set of 4 continuous no.
which means a multiple of 4 should be strictly present in the set
this explanation i think may help out
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