Enter a mod b statement(s)

Simplify the following:

36 mod 11

Also, does 11 divide 36?

Define modulus:

Remainder of a ÷ b

In this case, a = 36 and b = 11

Calculate whole number part:

11 goes into 36 a total of 3 times

11 x 3 = 33

Calculate remainder part:

Remainder = a - whole number

Remainder = 36 - 33

Final Answer


36 mod 11 ≡ 3
This means that 11 does not divide 36 → 11∤36