Enter a mod b statement

≡ (mod )
  

20 ≡ 5(mod 2)

For a ≡ b (mod n) to hold, n must divide a - b

a - b
n
≡
  
20 - 5
2

Plug in a = 20, b = 5, and n = 2

a - b
n
≡
  
20 - 5
2

a - b
n
≡
  
15
2

Since 15/2 ≠ 7 with no remainder, this congruence relation holds


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What is the Answer?
Since 15/2 ≠ 7 with no remainder, this congruence relation holds
How does the Congruence Modulo n Calculator work?
Free Congruence Modulo n Calculator - Given a possible congruence relation a ≡ b (mod n), this determines if the relation holds true (b is congruent to c modulo n).
This calculator has 3 inputs.

What 1 formula is used for the Congruence Modulo n Calculator?

if a ≡ b (mod n) then (a - b)/n is an integer

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Congruence Modulo n Calculator?

congruence modulo n
Occurs when two numbers have a difference that is a multiple of n.
congruent
identical in form
≅
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 Congruence Modulo n Calculator
  1. 3 = 4 mod 7
  2. 20 = 5 (mod 2)

Congruence Modulo n Calculator Video


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