How does a simple modulo hash work?

Updated Apr 28, 2026

Short answer

index = key % table_size.

Deep explanation

Hash tables are fundamental for fast lookups. index = key % table_size. By using a mathematical transformation, they bypass linear scanning required by arrays.

Real-world example

A dictionary or phonebook lookup.

Common mistakes

  • Assuming hash tables are always O(1) without considering collision frequency.

Follow-up questions

  • What happens if the table is too full?

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