Math Problem Statement
Prove that any positive integer has a multiple whose leftmost digit is 1 without using logarithms
Solution
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Math Problem Analysis
Mathematical Concepts
Pigeonhole Principle
Modular Arithmetic
Multiples
Formulas
Multiples of n: n, 2n, 3n, ...
Modular Arithmetic: kn mod 10^m
Theorems
Pigeonhole Principle
Suitable Grade Level
Advanced High School to Early University
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