Free Modulo Calculator
Remainder of a division (a mod n).
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Inputs
Result
17 mod 5
2.000000
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Short answer
Remainder of a division (a mod n).
What is the Modulo Calculator?
Remainder of a division (a mod n).
How does the Modulo Calculator work?
Enter the inputs above and read the result.
Formula
Variables
aDividendnDivisor
Explanation
The mathematical modulo always returns a result with the same sign as the divisor, unlike JavaScript's % operator.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Modulo Calculator sits inside the Math Calculators hub, in the algebra & equations cluster. Solving for unknowns and manipulating expressions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Modulo
Remainder of a division (a mod n). Within math calculators, modulo belongs to the algebra & equations cluster, where it shares terminology and assumptions with closely related tools.
Learning how modulo is calculated
The mathematical modulo always returns a result with the same sign as the divisor, unlike JavaScript's % operator. Working through the variables one at a time — a, n — makes the result reproducible by hand and easier to sanity-check.
Using modulo to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How modulo compares with related measures
equation, root, exponent, logarithm all describe adjacent aspects of algebra & equations. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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