Enter a mod b statement(s)

Simplify the following:

47 mod 5

Also, does 5 divide 47?

Define modulus:

Remainder of a ÷ b

In this case, a = 47 and b = 5

Calculate whole number part:

5 goes into 47 a total of 9 times

5 x 9 = 45

Calculate remainder part:

Remainder = a - whole number

Remainder = 47 - 45


47 mod 5 ≡ 2
This means that 5 does not divide 47 → 5∤47


Download the mobile appGenerate a practice problemGenerate a quiz

Excel or Google Sheets formula:

Excel or Google Sheets formula:=MOD(47,5)

What is the Answer?
47 mod 5 ≡ 2
This means that 5 does not divide 47 → 5∤47
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

Tags:



Add This Calculator To Your Website