Enter a mod b statement(s)


  

Simplify the following:

180 mod 41

Define modulus:

Remainder of a ÷ b

In this case, a = 180 and b = 41

Calculate whole number part:

41 goes into 180 a total of 4 times

41 x 4 = 164

Calculate remainder part:

Remainder = a - whole number

Remainder = 180 - 164


180 mod 41 ≡ 16


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Excel or Google Sheets formula:

Excel or Google Sheets formula:=MOD(180,41)

What is the Answer?
180 mod 41 ≡ 16
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

For more math formulas, check out our Formula Dossier

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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