Enter a mod b statement(s)

Simplify the following:

776644 mod 16

Also, does 16 divide 776644?

Define modulus:

Remainder of a ÷ b

In this case, a = 776644 and b = 16

Calculate whole number part:

16 goes into 776644 a total of 48540 times

16 x 48540 = 776640

Calculate remainder part:

Remainder = a - whole number

Remainder = 776644 - 776640

Final Answer


776644 mod 16 ≡ 4
This means that 16 does not divide 776644 → 16∤776644