Simplify the following:
205 mod 7
Also, does 7 divide 205?
Define modulus:
Remainder of a ÷ b
In this case, a = 205 and b = 7
Calculate whole number part:
7 goes into 205 a total of 29 times
7 x 29 = 203
Calculate remainder part:
Remainder = a - whole number
Remainder = 205 - 203
205 mod 7 ≡ 2
This means that 7 does not divide 205 → 7∤205
Excel or Google Sheets formula:
Excel or Google Sheets formula:
=MOD(205,7)
What is the Answer?
205 mod 7 ≡ 2
This means that 7 does not divide 205 → 7∤205
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