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The modulo operation, symbolized as "mod", finds the remainder of division between two numbers. For instance, "5 mod 3" evaluates to 2, as 5 divided by 3 leaves a remainder of 2.

This tool simplifies finding the remainder of a division operation. Enter the dividend and divisor to calculate the modulo.

The modulo operation is defined by the formula:

\[ a \mod n = r \]

where \( a \) is the dividend, \( n \) is the divisor, and \( r \) is the remainder.

Modulo operations are crucial in computer science, mathematics, and various everyday scenarios.

- Input the Dividend: Enter the number you wish to divide.
- Input the Divisor: Enter the number you wish to divide by.
- Calculate: Press the calculate button to obtain the remainder.

- 1. How do you calculate modulo?
- The modulo operation, denoted as \( a \mod n \), calculates the remainder when \( a \) is divided by \( n \).
- 2. What's 10 mod 3?
- \( 10 \mod 3 = 1 \), because 10 divided by 3 leaves a remainder of 1.
- 3. How to solve 4 mod 2?
- \( 4 \mod 2 = 0 \), because 4 is exactly divisible by 2.
- 4. How to calculate 3 mod 7?
- \( 3 \mod 7 = 3 \), because 3 divided by 7 leaves a remainder of 3 since 3 is less than 7.
- 5. How to solve 7 mod 5?
- \( 7 \mod 5 = 2 \), because 7 divided by 5 leaves a remainder of 2.
- 6. What is 5 in mod 5?
- \( 5 \mod 5 = 0 \), because 5 is exactly divisible by 5.
- 7. Why 3 mod 5 is 3?
- \( 3 \mod 5 = 3 \) because 3 divided by 5 is less than 1, leaving 3 as the remainder.
- 8. Why is 2 mod 4?
- \( 2 \mod 4 = 2 \), because 2 divided by 4 is less than 1, leaving 2 as the remainder.
- 9. How to solve 8 mod 4?
- \( 8 \mod 4 = 0 \), because 8 is exactly divisible by 4.
- 10. Why 5 mod 2 is 1?
- \( 5 \mod 2 = 1 \), because 5 divided by 2 leaves a remainder of 1.
- 11. Why is 2 mod 5 equal to 2?
- \( 2 \mod 5 = 2 \) because 2 divided by 5 is less than 1, leaving 2 as the remainder.
- 12. Why is 2 mod 3 equal to 2?
- \( 2 \mod 3 = 2 \) because 2 divided by 3 is less than 1, leaving 2 as the remainder.
- 13. Is 37 congruent to 3 mod 7?
- Yes, \( 37 \equiv 3 \mod 7 \) because both 37 and 3 give a remainder of 3 when divided by 7.
- 14. How do you solve 8 modulus 3?
- \( 8 \mod 3 = 2 \), because 8 divided by 3 leaves a remainder of 2.
- 15. What is the inverse of 3 modulus 7?
- The modular inverse of 3 modulo 7 is 5, because \( 3 \times 5 \equiv 1 \mod 7 \).