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
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