Modulo Calculator
The remainder operation.
Modulo Calculator
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What This Calculator Does
The Modulo Calculator finds the remainder after dividing one number by another. The modulo operation is fundamental in computer science, cryptography, and cyclic patterns.
How It Works
a mod n = remainder when a is divided by n.
Example
17 mod 5 = 2 (because 17 = 3 x 5 + 2).
Formula
a mod n = a - n x floor(a/n)Reading the Results
Remainder
The remainder when the dividend is divided by the divisor.
Frequently Asked Questions
What is modulo used for?
Checking even/odd (n%2), wrapping around (clocks, arrays), hash functions, and cryptography.
What is 0 mod n?
0 mod n = 0 for any positive n, because 0 divided by n leaves no remainder.
Is modulo the same as remainder?
For positive numbers, yes. For negative numbers, the behavior differs between programming languages.