Determine the largest value of a positive integer n, such that:
25 divides n!+1
(In reply to
solution by Larry)
Your answer is correct, but you made a mistake. Just because a number ends in 49 does not mean that it is divisible by 7. Similarly, a number ending in 74 is not necessarily divisible by 37, and ditto for 99 and 11. Therefore, you can ignore your third thought. Then, 5! and any larger factorial ends in 0 or 5, not 24, 49, 74, or 99. Therefore, n=4.
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Posted by Math Man
on 2024-09-11 20:49:30 |
re: solution
