CalculateMeasure

Math & Geometry

Modulo Calculator

Find the non-negative modulo of one number by a positive divisor.

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Calculator guide

How to use the Modulo Calculator

Find the non-negative modulo of one number by a positive divisor. Enter the requested values and select Calculate. The result and supporting values are produced locally in your browser.

Formula

Modulo = ((Dividend mod Divisor) + Divisor) mod Divisor

Worked example

For −17 modulo 5, the result is 3 because −17 = (−4 × 5) + 3.

What to keep in mind

  • This calculator returns a non-negative modulo when the divisor is positive.
  • Modulo is related to, but not always identical to, programming-language remainder operators.

Methodology

This calculator uses deterministic arithmetic and performs the calculation locally in your browser. Verify assumptions, units, and source values for your specific use case.

Review standard: Level A · Standard formula. How calculator reviews work.

Frequently asked questions

What does this calculator calculate?

Find the non-negative modulo of one number by a positive divisor.

How is the result calculated?

Modulo = ((Dividend mod Divisor) + Divisor) mod Divisor.

Can I use the result for an important decision?

Use the result as a calculation aid and verify the inputs, assumptions, and applicable professional or regulatory requirements before relying on it for an important decision.

Does CalculateMeasure store the values I enter?

The calculator performs its arithmetic in your browser. The calculator itself does not need to send your entered values to a server to produce the result.