Modular Division

What is 3 mod 12?

• 1

• 2

• 3

• 4

Answer explanation

To find 3 mod 12, we calculate the remainder of 3 divided by 12. Since 3 is less than 12, the remainder is simply 3. Therefore, 3 mod 12 equals 3.

What is 100 mod 100?

• 50

• 1

• 0

• 99

Answer explanation

To find 100 mod 100, we calculate the remainder of 100 divided by 100. Since 100 is exactly divisible by 100, the remainder is 0. Therefore, 100 mod 100 equals 0.

What is 12 mod 12?

• 1

• 0

• 2

• 12

Answer explanation

12 mod 12 calculates the remainder when 12 is divided by 12. Since 12 divides evenly into 12 with no remainder, the result is 0. Therefore, the correct answer is 0.

For Modular Arithmetic what value is the most important?

• The Modulo

• The Given Number

• The Remainder

• The Divisor

Answer explanation

In modular arithmetic, the remainder is crucial as it represents the result of the division of one number by another, indicating how much is left over. Thus, the remainder is the most important value.

(63-27) mod 6

• 1 (modulo 6)

• 2 (modulo 6)

• 3 (modulo 6)

• 0

(258-89) mod 14

• 0

• 1 (modulo 14)

• 2 (modulo 14)

• 0 (modulo 14)

a system of arithmetic for integers, which considers the Remainder

• Modular Arithmetic

• Division

• Divisibility Theorems

• Division Algorithm

(51+29) mod 3

• 3 (modulo 4)

• 2 (modulo 3)

• 3 (modulo 2)

• 4 (modulo 3)

(99+1) mod 7

• 7 (modulo 2)

• 0

• 0 (modulo 7)

• 2 (modulo 7)

(325+69) mod 13

• 3 (modulo 13)

• 4 (modulo 13)

• 5 (modulo 13)

• 6 (modulo 13)