20 ? 5(mod 2) MathCelebrity logo Image to Crop

20 ≡ 5(mod 2)

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


Plug in a = 20, b = 5, and n = 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 nOccurs when two numbers have a difference that is a multiple of n.congruentidentical in form
≅modulusthe remainder of a division, after one number is divided by another.
a mod bremainderThe portion of a division operation leftover after dividing two integers

Example calculations for the Congruence Modulo n Calculator

Congruence Modulo n Calculator Video


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