Enter a mod b statement(s)

Simplify the following:

100 mod 16

Also, does 16 divide 100?

Define modulus:

Remainder of a ÷ b

In this case, a = 100 and b = 16

Calculate whole number part:

16 goes into 100 a total of 6 times

16 x 6 = 96

Calculate remainder part:

Remainder = a - whole number

Remainder = 100 - 96

Final Answer


100 mod 16 ≡ 4
This means that 16 does not divide 100 → 16∤100