1961 AHSME Problems/Problem 35
Problem
The number is to be written with a factorial base of numeration, that is, where are integers such that and means . Find
Solution
This problem can be approached similarly to other base number problems.
Since , divide by . The quotient is and the remainder is , so rewrite the number as Similarly, dividing by results in a quotient of and a remainder of , so the number can be rewritten as Repeat the steps to get The answer is . One can also stop at the second step by noting .
See Also
1961 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 34 |
Followed by Problem 36 | |
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