How to Calculate Modulo
What is Modulo?
The modulo operation finds the remainder when one number is divided by another. Written as a mod b, it's essential in number theory, cryptography, and computer science.
Formula
a mod b = remainder of a ÷ b
Step-by-Step Guide
- 1Divide a by b
- 2The remainder is the modulo result
- 3Result is always non-negative and less than b
Worked Examples
Input
17 mod 5
Result
2
17 = 3 × 5 + 2
Common Mistakes to Avoid
- ✕Confusing modulo with division
- ✕Incorrect remainder calculation
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