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


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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
Modulus Calculator Video

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