How to Calculate Modulo
What is Modulo?
A modulo calculator computes the remainder after integer division (a mod b). Modulo is fundamental to computer science (hash functions, array indexing, cyclic algorithms), cryptography, and checking divisibility. 17 mod 5 = 2 because 17 = 3×5 + 2.
Step-by-Step Guide
- 1Divide first number by second
- 2Return remainder
- 3Useful for cycling/repetition
Worked Examples
Input
23 mod 5
Result
3
23 = 4×5 + 3
Common Mistakes to Avoid
- ✕Not double-checking results
- ✕Ignoring edge cases
Frequently Asked Questions
What does this calculator do?
Input values
How do I use this calculator?
System calculates
Ready to calculate? Try the free Modulo Calculator
Try it yourself →