Modulo Calculator

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL




Modulo also called as modulus is an operation which is used to find the remainder when a number is divided by another number. If a and b are two numbers then it is written as a mod b or a % b. For example 7 mod 5, 7 when divided by 5 leaves a remainder 2 with quotient 1. So 7 mod 5 = 2. 
 

Example 1: Find 625 mod 25.
 

2 5
 

25 6 2 5 Step 1: 62 / 25 = 2 with remainder 12
 

5 0 Step 2: Subtraction 62 – 50 = 12
 

1 2 5 Step 3: 125 / 25 = 5
 

1 2 5 Step 4: Subtraction 125 – 125 = 0
 

0
 

Here the dividend is 625, divisor is 25, quotient is 25 and remainder is 0.
 

Hence 625 mod 25 = 0 (remainder)
 

n mod 1 (where n is any positive number) is 0 and n mod 0 is undefined.

 

 

Example 2: Find 430 mod 4
 

1 0 7
 

4 4 3 0 Step 1: Division 4 / 4 = 1
 

4 Step 2: subtraction 4 – 4 = 0
 

3 Step 3: Writing the next number 3 and division 3 / 4 = 0
 

0 Step 4: Subtract 3 – 0 = 3
 

3 0 Step 5: writing the next number 0 and division 30 / 4 = 7
 

2 8 Step 6: Subtraction 30 – 28 = 2
 

2
 

Here the quotient is 107 and remainder is 2.
 

Hence 430 % 4 = 2

 

HAVE A QUESTION? Chat With Our Tutoring Experts Now