Simplify the following:
120 mod 7
Also, does 7 divide 120?
Define modulus:
Remainder of a ÷ b
In this case, a = 120 and b = 7
Calculate whole number part:
7 goes into 120 a total of 17 times
7 x 17 = 119
Calculate remainder part:
Remainder = a - whole number
Remainder = 120 - 119
120 mod 7 ≡ 1
This means that 7 does not divide 120 → 7∤120
Excel or Google Sheets formula:
Excel or Google Sheets formula:
=MOD(120,7)
What is the Answer?
120 mod 7 ≡ 1
This means that 7 does not divide 120 → 7∤120
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