Enter a mod b statement(s)

Simplify the following:

256 mod 8633

Also, does 8633 divide 256?

Define modulus:

Remainder of a ÷ b

In this case, a = 256 and b = 8633

Calculate whole number part:

8633 goes into 256 a total of 0 times

8633 x 0 = 0

Calculate remainder part:

Remainder = a - whole number

Remainder = 256 - 0

Final Answer


256 mod 8633 ≡ 256
This means that 8633 does not divide 256 → 8633∤256