Enter a mod b statement(s) Simplify the following:

65 mod 3

Define modulus:

Remainder of a ÷ b

In this case, a = 65 and b = 3

Calculate whole number part:

3 goes into 65 a total of 21 times

3 x 21 = 63

Calculate remainder part:

Remainder = a - whole number

Remainder = 65 - 63

65 mod 3 ≡ 2

Excel or Google Sheets formula:

Excel or Google Sheets formula:

=MOD(65,3)

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

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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
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