Simplify the following:
143 mod 53
Also, does 53 divide 143?
Define modulus:
Remainder of a ÷ b
In this case, a = 143 and b = 53
Calculate whole number part:
53 goes into 143 a total of 2 times
53 x 2 = 106
Calculate remainder part:
Remainder = a - whole number
Remainder = 143 - 106
143 mod 53 ≡ 37
This means that 53 does not divide 143 → 53∤143
Excel or Google Sheets formula:
Excel or Google Sheets formula:
=MOD(143,53)
What is the Answer?
143 mod 53 ≡ 37
This means that 53 does not divide 143 → 53∤143
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