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Math Calculators
Modulo Calculator
Calculate the modulo (remainder) of a divided by n, using the standard mathematical convention.
a mod n
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About the Modulo Calculator
The modulo operation finds the remainder after dividing one number by another. Unlike a plain division remainder, the mathematical modulo always returns a result with the same sign as the modulus, so it behaves consistently for negative numbers.
Formula: a mod n = a − n × floor(a ÷ n)
Modulo arithmetic is fundamental to computer science, cryptography, clock arithmetic and cyclical patterns like day-of-week calculations.
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