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


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


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Excel or Google Sheets formula:

Excel or Google Sheets formula:=MOD(100,16)

What is the Answer?
100 mod 16 ≡ 4
This means that 16 does not divide 100 → 16∤100
How does the Modulus Calculator work?
Free Modulus Calculator - Given 2 integers a and b, this modulo calculator determines a mod b or simplifies modular arithmetic such as 7 mod 3 + 5 mod 8 - 32 mod 5
This calculator has 1 input.
What 1 formula is used for the Modulus Calculator?
amodb = Remainder after a ÷ b
What 2 concepts are covered in the Modulus Calculator?
modulus
the remainder of a division, after one number is divided by another.
a mod b
remainder
The portion of a division operation leftover after dividing two integers
Example calculations for the Modulus Calculator
Modulus Calculator Video

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