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


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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
Modulus Calculator Video

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