Modulo Calculator
Find the remainder of a division operation instantly. Essential for programmers working with loops, arrays, and cycle-based logic.
The Remainder is
0
How Modulo Works
The Modulo operation (%) finds the remainder after one number is divided by another. For example, if you have 17 and divide it by 5, it goes in 3 times (making 15) and leaves 2 left over. Therefore, 17 mod 5 = 2. It is often visualized as "clock arithmetic," where numbers wrap around once they reach the divisor.
Frequently Asked Questions
What is the "Dividend" and "Divisor"? +
The Dividend is the total amount you have. The Divisor (or Modulus) is the size of the groups you are dividing into. The result is what remains after making as many full groups as possible.
How is this used in coding? +
Modulo is used to check if a number is even or odd (num % 2), to limit a value within a range (like wrapping around an array), or to trigger events every 'N' times in a loop.
Can the divisor be zero? +
No. In mathematics and computing, division by zero is undefined. Trying to calculate a modulo with a divisor of 0 will result in an error or "NaN" (Not a Number).
Does it work with negative numbers? +
Yes, but the result depends on the programming language's implementation. Some languages return a negative remainder, while others wrap it back to a positive value.
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