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65mod3

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





Excel or Google Sheets formula:

=MOD(65,3)


What is the Answer?

65 mod 3 ≡ 2

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?

  1. 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

  1. 120 mod 7
  2. 65MOD3
  3. 145 MODULUS 8
  4. 190 % 6
  5. 7 mod 3+5 mod 8 - 32 mod 5

Modulus Calculator Video


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