Simplify the following:
145 mod 8
Also, does 8 divide 145?
Define modulus:
Remainder of a ÷ b
In this case, a = 145 and b = 8
Calculate whole number part:
8 goes into 145 a total of 18 times
8 x 18 = 144
Calculate remainder part:
Remainder = a - whole number
Remainder = 145 - 144
145 mod 8 ≡ 1
This means that 8 does not divide 145 → 8∤145
Excel or Google Sheets formula:
Excel or Google Sheets formula:
=MOD(145,8)
What is the Answer?
145 mod 8 ≡ 1
This means that 8 does not divide 145 → 8∤145
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