Simplify the following:
65 mod 3
Also, does 3 divide 65?
Define modulus:
Remainder of a ÷ b
In this case, a = 65 and b = 3
Calculate whole number part:
3 goes into 65 a total of 21 times
3 x 21 = 63
Calculate remainder part:
Remainder = a - whole number
Remainder = 65 - 63
65 mod 3 ≡ 2
This means that 3 does not divide 65 → 3∤65
This means that 3 does not divide 65 → 3∤65
Excel or Google Sheets formula:
Excel or Google Sheets formula:=MOD(65,3)What is the Answer?
65 mod 3 ≡ 2
This means that 3 does not divide 65 → 3∤65
This means that 3 does not divide 65 → 3∤65
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.
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
