Modulo Calculator
Remainder after division.
Reviewed by the Calculation Machine team · How we check our maths
Your values
ⓘ Live results
Results
- a mod n
- 3
- Programming remainder (a % n)
- 3
- Quotient (floor)
- 6
- Exact division
- 6.75
- Divides evenly?
- No
Quick answer
The modulo operation returns the remainder left after dividing one number by another.
The formula
a mod n = a − n⌊a/n⌋
Worked example
Worked example
Using the values the calculator loads with.
Inputs
- Dividend a27
- Divisor n4
Result
- a mod n3
- Programming remainder (a % n)3
- Quotient (floor)6
- Exact division6.75
- Divides evenly?No
How to use the Modulo Calculator
- 1Enter the number being divided.
- 2Enter the divisor.
- 3Compare the true modulus with the programming remainder.
Frequently asked questions
Why do negatives differ?
Most programming languages keep the sign of the dividend; mathematics returns a non-negative result.
What is modulo used for?
Clock arithmetic, hashing, cycling through lists and checking divisibility.
About this calculator
- Built and reviewed by the Calculation Machine team · How we build and test calculators
- Report an error