Enter a mod b statement(s)

Simplify the following:

3 mod 11

Also, does 11 divide 3?

Define modulus:

Remainder of a ÷ b

In this case, a = 3 and b = 11

Calculate whole number part:

11 goes into 3 a total of 0 times

11 x 0 = 0

Calculate remainder part:

Remainder = a - whole number

Remainder = 3 - 0

Final Answer


3 mod 11 ≡ 3
This means that 11 does not divide 3 → 11∤3