Modulo Calculator
Find the remainder of a division.
Σ The Formula
Real World Examples
# About This Calculator
The Modulo operation (often abbreviated as "mod" or represented by %) finds the remainder after division of one number by another. While normal division calculates how many times a number fits, modulo tells you what is left over.
For example, 17 mod 5 is 2, because 5 goes into 17 three times (15) with 2 remaining. This concept is incredibly powerful in computer science (cryptography, hash functions), scheduling (days of the week), and detecting patterns (even vs. odd numbers).
It works like a clock face. On a 12-hour clock, 13 o'clock is actually 1 o'clock (13 mod 12 = 1). This "wrapping around" behavior is the core of modular arithmetic.
This tool computes the modulo for positive and negative numbers instantly, perfect for checking congruences or programming logic.
How To Use
- Enter the Dividend (the number being divided).
- Enter the Modulus (the divisor).
- Click Calculate.
- The result is the remainder.
Frequently Asked Questions
What is modulo used for in real life?+
How is it different from division?+
What is 5 mod 2?+
How do you handle negative numbers?+
Is modulo the same as percent (%)?+
Is Modulo Calculator free to use?+
About
The Modulo operation (often abbreviated as "mod" or represented by %) finds the remainder after division of one number by another. While normal division calculates how many times a number fits, modulo tells you what is left over.
For example, 17 mod 5 is 2, because 5 goes into 17 three times (15) with 2 remaining. This concept is incredibly powerful in computer science (cryptography, hash functions), scheduling (days of the week), and detecting patterns (even vs. odd numbers).
It works like a clock face. On a 12-hour clock, 13 o'clock is actually 1 o'clock (13 mod 12 = 1). This "wrapping around" behavior is the core of modular arithmetic.
This tool computes the modulo for positive and negative numbers instantly, perfect for checking congruences or programming logic.